Pith Number

pith:FID4GPRH

pith:2016:FID4GPRHIVAAM5XIRP72ZZEG7Z

not attested not anchored not stored refs pending

A Hamiltonian Formulation of Causal Variational Principles

Felix Finster, Johannes Kleiner

arxiv:1612.07192 v4 · 2016-12-21 · math-ph · gr-qc · hep-th · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FID4GPRHIVAAM5XIRP72ZZEG7Z}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Holographic Mixing and Fock Space Dynamics of Causal Fermion Systems

Action-Driven Flows for Causal Variational Principles

Receipt and verification

First computed	2026-05-18T00:32:55.424475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a07c33e2745400676e88bfface486fe6a7e9590ca4e2958fd75640a2f8b88ed

Aliases

arxiv: 1612.07192 · arxiv_version: 1612.07192v4 · doi: 10.48550/arxiv.1612.07192 · pith_short_12: FID4GPRHIVAA · pith_short_16: FID4GPRHIVAAM5XI · pith_short_8: FID4GPRH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FID4GPRHIVAAM5XIRP72ZZEG7Z \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2a07c33e2745400676e88bfface486fe6a7e9590ca4e2958fd75640a2f8b88ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "648e21b1850a05effa7be5b6f15b41cb2cce714f387a864ccdec4adaa53c326a",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-21T15:36:59Z",
    "title_canon_sha256": "4a05b716cb7217168135071530f7f6acb33de17479c0a9055a0c0c8d7be97512"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07192",
    "kind": "arxiv",
    "version": 4
  }
}