Pith Number

pith:YTPY3ZUL

pith:2011:YTPY3ZULMA24X5A3CIWCSYW4KE

not attested not anchored not stored refs pending

Contact Ricci flow

Jong Taek Cho

arxiv:1104.1853 v3 · 2011-04-11 · 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{YTPY3ZULMA24X5A3CIWCSYW4KE}

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	2026-05-18T04:04:30.033223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4df8de68b6035cbf41b122c2962dc51043700a1548e5fab37ce59624e31e878

Aliases

arxiv: 1104.1853 · arxiv_version: 1104.1853v3 · doi: 10.48550/arxiv.1104.1853 · pith_short_12: YTPY3ZULMA24 · pith_short_16: YTPY3ZULMA24X5A3 · pith_short_8: YTPY3ZUL

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/YTPY3ZULMA24X5A3CIWCSYW4KE \
  | 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: c4df8de68b6035cbf41b122c2962dc51043700a1548e5fab37ce59624e31e878

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d4025042bdb0d43fd1febbfda68ccc050930368380a9e652750ca7ffa94f577",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-11T06:33:05Z",
    "title_canon_sha256": "02dd899543d8d4c690c7dfa9a706837b566cdd94ddb382220b8d9f8b22bfa0dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1853",
    "kind": "arxiv",
    "version": 3
  }
}