Pith Number

pith:ANJDGM3Z

pith:2012:ANJDGM3ZT6V6ZCLYNYVIWMDSMJ

not attested not anchored not stored refs pending

The Ricci flow on manifolds with boundary

Panagiotis Gianniotis

arxiv:1210.0813 v2 · 2012-10-02 · 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{ANJDGM3ZT6V6ZCLYNYVIWMDSMJ}

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	2026-05-18T02:19:06.462900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03523333799fabec89786e2a8b3072626ad4cc6270046209091c44d7b2e96681

Aliases

arxiv: 1210.0813 · arxiv_version: 1210.0813v2 · doi: 10.48550/arxiv.1210.0813 · pith_short_12: ANJDGM3ZT6V6 · pith_short_16: ANJDGM3ZT6V6ZCLY · pith_short_8: ANJDGM3Z

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/ANJDGM3ZT6V6ZCLYNYVIWMDSMJ \
  | 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: 03523333799fabec89786e2a8b3072626ad4cc6270046209091c44d7b2e96681

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01bfa2caaad1d29975eaaa99a65ce92733f91b4133181747b0acd954df8f966d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-02T15:53:39Z",
    "title_canon_sha256": "647604f4a1bfb9bd78609c24b649c96b9d3c75940d169072273a3e94441cd468"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0813",
    "kind": "arxiv",
    "version": 2
  }
}