Pith Number

pith:DEVPZBFZ

pith:2011:DEVPZBFZSZQQDHB4SVZ2PDCBZX

not attested not anchored not stored refs pending

Ricci flow on open 4-manifolds with positive isotropic curvature

Hong Huang

arxiv:1108.2918 v2 · 2011-08-15 · 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{DEVPZBFZSZQQDHB4SVZ2PDCBZX}

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	2026-05-18T04:14:28.745389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

192afc84b99661019c3c9573a78c41cdcb3ba2773c15e5d80c6c6d666290ea80

Aliases

arxiv: 1108.2918 · arxiv_version: 1108.2918v2 · doi: 10.48550/arxiv.1108.2918 · pith_short_12: DEVPZBFZSZQQ · pith_short_16: DEVPZBFZSZQQDHB4 · pith_short_8: DEVPZBFZ

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/DEVPZBFZSZQQDHB4SVZ2PDCBZX \
  | 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: 192afc84b99661019c3c9573a78c41cdcb3ba2773c15e5d80c6c6d666290ea80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "126bb89c0bf4468bd0a9b1c1f1fce6292e4a4e1c9915e8b447e301a0ae2443da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-08-15T01:59:57Z",
    "title_canon_sha256": "000b4a1d5848f91fd2f35bf5e8f62eb26648af8fefa367a71befb030c486dbd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2918",
    "kind": "arxiv",
    "version": 2
  }
}