Pith Number

pith:5NISXAAL

pith:2016:5NISXAALWYYXITLFZKL2OQF5OD

not attested not anchored not stored refs pending

Renormalized Volumes with Boundary

Andrew Waldron, A. Rod Gover

arxiv:1611.08345 v1 · 2016-11-25 · math.DG · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5NISXAALWYYXITLFZKL2OQF5OD}

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	2026-05-18T00:14:01.400945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb512b800bb631744d65ca97a740bd70eb44813fd8570f274605b34ada6db922

Aliases

arxiv: 1611.08345 · arxiv_version: 1611.08345v1 · doi: 10.48550/arxiv.1611.08345 · pith_short_12: 5NISXAALWYYX · pith_short_16: 5NISXAALWYYXITLF · pith_short_8: 5NISXAAL

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/5NISXAALWYYXITLFZKL2OQF5OD \
  | 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: eb512b800bb631744d65ca97a740bd70eb44813fd8570f274605b34ada6db922

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9328481f987b5cc4b6c41ebb793a1abe5d65ea6b0205ec6daf58b3171bed144c",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-11-25T03:35:03Z",
    "title_canon_sha256": "d8b643b69c1c6e143a1713dfb09ff210fda2f27b1f89e979e6b3b93f034a1fcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08345",
    "kind": "arxiv",
    "version": 1
  }
}