Pith Number

pith:XAJRW4PA

pith:2009:XAJRW4PATCO55RZKCYCV5GLXQL

not attested not anchored not stored refs pending

Ricci flow coupled with harmonic map flow

Reto M\"uller

arxiv:0912.2907 v2 · 2009-12-15 · 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{XAJRW4PATCO55RZKCYCV5GLXQL}

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	2026-05-18T01:30:26.279406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8131b71e0989ddec72a16055e997782d6793d38b363576543f7bd59a478763e

Aliases

arxiv: 0912.2907 · arxiv_version: 0912.2907v2 · doi: 10.48550/arxiv.0912.2907 · pith_short_12: XAJRW4PATCO5 · pith_short_16: XAJRW4PATCO55RZK · pith_short_8: XAJRW4PA

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/XAJRW4PATCO55RZKCYCV5GLXQL \
  | 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: b8131b71e0989ddec72a16055e997782d6793d38b363576543f7bd59a478763e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d757f9bd19f060975023509d843e43dd200af07ff9f9e0aee50bfe13beafb43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-12-15T14:30:08Z",
    "title_canon_sha256": "fd366d6c111c3fe3916c264290cd243a4742bdcc03f1c8bd74a733f0ee41501d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2907",
    "kind": "arxiv",
    "version": 2
  }
}