Pith Number

pith:JEAJD7Z7

pith:2025:JEAJD7Z7CROMG32SOY6RDKWFWM

not attested not anchored not stored refs pending

Apparent horizon as a membrane

Daniel R. Terno

arxiv:2511.03959 v2 · 2025-11-06 · gr-qc · math-ph · 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{JEAJD7Z7CROMG32SOY6RDKWFWM}

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	2026-06-19T16:11:16.121812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

490091ff3f145cc36f52763d11aac5b31ef516797c868329b837ec85773c10ce

Aliases

arxiv: 2511.03959 · arxiv_version: 2511.03959v2 · doi: 10.48550/arxiv.2511.03959 · pith_short_12: JEAJD7Z7CROM · pith_short_16: JEAJD7Z7CROMG32S · pith_short_8: JEAJD7Z7

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/JEAJD7Z7CROMG32SOY6RDKWFWM \
  | 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: 490091ff3f145cc36f52763d11aac5b31ef516797c868329b837ec85773c10ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b28fc865cc860f0e16e1e96e42d6c9c78571f1f484e4333bd5fdff5ae2a53b7d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-11-06T01:30:46Z",
    "title_canon_sha256": "7d67faba2b841243caa7bcfff7240e6900bf39c0b0eee651a55904a55d8fb138"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.03959",
    "kind": "arxiv",
    "version": 2
  }
}