Pith Number

pith:VPSSJ7ZK

pith:2017:VPSSJ7ZKRCNND2SXMW2QZ5S5IU

not attested not anchored not stored refs pending

Rigidity of Hawking mass for surfaces in three manifolds

Jiacheng Sun

arxiv:1703.02352 v3 · 2017-03-07 · math.DG · 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{VPSSJ7ZKRCNND2SXMW2QZ5S5IU}

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	2026-05-18T00:20:56.618698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe524ff2a889ad1ea5765b50cf65d4519344aa5f81b25736adad1d51cb37ba4

Aliases

arxiv: 1703.02352 · arxiv_version: 1703.02352v3 · doi: 10.48550/arxiv.1703.02352 · pith_short_12: VPSSJ7ZKRCNN · pith_short_16: VPSSJ7ZKRCNND2SX · pith_short_8: VPSSJ7ZK

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/VPSSJ7ZKRCNND2SXMW2QZ5S5IU \
  | 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: abe524ff2a889ad1ea5765b50cf65d4519344aa5f81b25736adad1d51cb37ba4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae1810abcd7cbee280b14ef9c38b3d103058a43aeff1a96f98db21a38c606406",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-03-07T12:26:17Z",
    "title_canon_sha256": "ba0e5f25f85f294f2beb951fc4e64d0c90fe5e368698b060e940e4269869c680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02352",
    "kind": "arxiv",
    "version": 3
  }
}