Pith Number

pith:DA3ODHS3

pith:2011:DA3ODHS32BI5KSOF2KNJRDKQZM

not attested not anchored not stored refs pending

Smoothing metrics on closed Riemannian manifolds through the Ricci flow

Yunyan Yang

arxiv:1104.1702 v1 · 2011-04-09 · 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{DA3ODHS32BI5KSOF2KNJRDKQZM}

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	2026-05-18T04:24:43.324234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1836e19e5bd051d549c5d29a988d50cb2cc60ca426a31a0c14a0abb4342cfca3

Aliases

arxiv: 1104.1702 · arxiv_version: 1104.1702v1 · doi: 10.48550/arxiv.1104.1702 · pith_short_12: DA3ODHS32BI5 · pith_short_16: DA3ODHS32BI5KSOF · pith_short_8: DA3ODHS3

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/DA3ODHS32BI5KSOF2KNJRDKQZM \
  | 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: 1836e19e5bd051d549c5d29a988d50cb2cc60ca426a31a0c14a0abb4342cfca3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f22894b2c68949d157258aa2dc15ffc191466825831d93ac1d082d7601b0ba16",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-09T12:30:50Z",
    "title_canon_sha256": "c56451ffd67dbca9209170e4297923254679215741133a29cce8e8847e0fdb58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1702",
    "kind": "arxiv",
    "version": 1
  }
}