Pith Number

pith:7IRCQPTI

pith:2017:7IRCQPTIDPOIYY4GMFJV4YZVKT

not attested not anchored not stored refs pending

Uniqueness of the Mean Field Equation and Rigidity of Hawking Mass

Dongyi Wei, Gang Tian, Jiacheng Sun, Yuguang Shi

arxiv:1706.06766 v1 · 2017-06-21 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7IRCQPTIDPOIYY4GMFJV4YZVKT}

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	2026-05-18T00:41:56.910308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa22283e681bdc8c638661535e633554c96b7f8f4e1fcc38813482f3f5fff96a

Aliases

arxiv: 1706.06766 · arxiv_version: 1706.06766v1 · doi: 10.48550/arxiv.1706.06766 · pith_short_12: 7IRCQPTIDPOI · pith_short_16: 7IRCQPTIDPOIYY4G · pith_short_8: 7IRCQPTI

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/7IRCQPTIDPOIYY4GMFJV4YZVKT \
  | 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: fa22283e681bdc8c638661535e633554c96b7f8f4e1fcc38813482f3f5fff96a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e703bf812c2cc24015d125636790fdd8de9d165ed66a971bff994e90970ff2c6",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-21T07:27:03Z",
    "title_canon_sha256": "c0248a9df27aaa9525396dba757369c8f0d1bb1b8f536738578e56e0d43db611"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06766",
    "kind": "arxiv",
    "version": 1
  }
}