Pith Number

pith:CXIICGG3

pith:2014:CXIICGG3TUU2SFWWISXK3BWYBM

not attested not anchored not stored refs pending

On the Bartnik mass of apparent horizons

Christos Mantoulidis, Richard Schoen

arxiv:1412.0382 v3 · 2014-12-01 · math.DG · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXIICGG3TUU2SFWWISXK3BWYBM}

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	2026-05-18T01:31:03.541435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15d08118db9d29a916d644aead86d80b28c308ab101adff0f6e99e7fdb77a15d

Aliases

arxiv: 1412.0382 · arxiv_version: 1412.0382v3 · doi: 10.48550/arxiv.1412.0382 · pith_short_12: CXIICGG3TUU2 · pith_short_16: CXIICGG3TUU2SFWW · pith_short_8: CXIICGG3

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/CXIICGG3TUU2SFWWISXK3BWYBM \
  | 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: 15d08118db9d29a916d644aead86d80b28c308ab101adff0f6e99e7fdb77a15d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a6f8e4985022517a5929896a3c20e1f44c787f8beb236ee390c149cba7fc0ef",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-01T09:08:20Z",
    "title_canon_sha256": "06a4077c3c9fa1a1f3c79285537bd8103bb8a8e285bc994f216eac446def1acc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0382",
    "kind": "arxiv",
    "version": 3
  }
}