Pith Number

pith:NFJQZZXM

pith:2017:NFJQZZXMP2DATLIRI3NOAMBWTA

not attested not anchored not stored refs pending

The local entropy along Ricci flow---Part A: the no-local-collapsing theorems

Bing Wang

arxiv:1706.08485 v1 · 2017-06-26 · math.DG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFJQZZXMP2DATLIRI3NOAMBWTA}

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	2026-05-18T00:41:42.476672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69530ce6ec7e8609ad1146dae03036981f5ec14b129df686cd382c014549e80b

Aliases

arxiv: 1706.08485 · arxiv_version: 1706.08485v1 · doi: 10.48550/arxiv.1706.08485 · pith_short_12: NFJQZZXMP2DA · pith_short_16: NFJQZZXMP2DATLIR · pith_short_8: NFJQZZXM

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/NFJQZZXMP2DATLIRI3NOAMBWTA \
  | 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: 69530ce6ec7e8609ad1146dae03036981f5ec14b129df686cd382c014549e80b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b4c96a8b22947767364eb90ac88b80977e4b3703939c81b889f18efdf9bd7a9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-06-26T17:15:21Z",
    "title_canon_sha256": "e609f636b7648705344042bac9ec6a9c4c3d106914bef135a02cbf7ad2f23916"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08485",
    "kind": "arxiv",
    "version": 1
  }
}