Pith Number

pith:Z6W5S3LU

pith:2017:Z6W5S3LUA55HEH4L3ZJ7QO2BWE

not attested not anchored not stored refs pending

Entropy, noncollapsing, and a gap theorem for ancient solutions to the Ricci flow

Yongjia Zhang

arxiv:1702.05118 v2 · 2017-02-16 · 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{Z6W5S3LUA55HEH4L3ZJ7QO2BWE}

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	2026-05-18T00:42:58.400911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfadd96d74077a721f8bde53f83b41b10e3cbc0a406d252c442479f696abb718

Aliases

arxiv: 1702.05118 · arxiv_version: 1702.05118v2 · doi: 10.48550/arxiv.1702.05118 · pith_short_12: Z6W5S3LUA55H · pith_short_16: Z6W5S3LUA55HEH4L · pith_short_8: Z6W5S3LU

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/Z6W5S3LUA55HEH4L3ZJ7QO2BWE \
  | 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: cfadd96d74077a721f8bde53f83b41b10e3cbc0a406d252c442479f696abb718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf85947168b49bc58cf5e77ebdff089e3ba65fd39559bbdf7e6abd573eee0937",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-02-16T19:20:36Z",
    "title_canon_sha256": "bd948b688e88627efc7808d09a8fce49b5703f2eda7b084cf914db34fd5db122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05118",
    "kind": "arxiv",
    "version": 2
  }
}