Pith Number

pith:FHP77UAS

pith:2016:FHP77UASRWNKF7QHVTN6TYJL2O

not attested not anchored not stored refs pending

Quantization of time-like energy for wave maps into spheres

Roland Grinis

arxiv:1601.07452 v2 · 2016-01-27 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FHP77UASRWNKF7QHVTN6TYJL2O}

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.

Receipt and verification

First computed	2026-05-18T01:02:13.289423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29dfffd0128d9aa2fe07acdbe9e12bd3ac821e932f9dc43e2d897de16564e7dc

Aliases

arxiv: 1601.07452 · arxiv_version: 1601.07452v2 · doi: 10.48550/arxiv.1601.07452 · pith_short_12: FHP77UASRWNK · pith_short_16: FHP77UASRWNKF7QH · pith_short_8: FHP77UAS

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/FHP77UASRWNKF7QHVTN6TYJL2O \
  | 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: 29dfffd0128d9aa2fe07acdbe9e12bd3ac821e932f9dc43e2d897de16564e7dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af1c0a9bea95f63c8f1aa0e9b5ca7264341e6cfe62522d5cf5faf3a72b32602a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-27T17:08:15Z",
    "title_canon_sha256": "24aea481975dc93b91c88d89c92dc807c777788eb027b0d62c65ec226fe8587d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07452",
    "kind": "arxiv",
    "version": 2
  }
}