Pith Number

pith:XHECQA6H

pith:2009:XHECQA6HQWPCC3GIBAHYRNQBLH

not attested not anchored not stored refs pending

A heat flow for special metrics

Frederik Witt, Hartmut Weiss

arxiv:0912.0421 v3 · 2009-12-02 · 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{XHECQA6HQWPCC3GIBAHYRNQBLH}

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	2026-05-18T03:40:16.555408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9c82803c7859e216cc8080f88b60159e2131c12858fa37c95d2c354afa3a7fa

Aliases

arxiv: 0912.0421 · arxiv_version: 0912.0421v3 · doi: 10.48550/arxiv.0912.0421 · pith_short_12: XHECQA6HQWPC · pith_short_16: XHECQA6HQWPCC3GI · pith_short_8: XHECQA6H

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/XHECQA6HQWPCC3GIBAHYRNQBLH \
  | 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: b9c82803c7859e216cc8080f88b60159e2131c12858fa37c95d2c354afa3a7fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1e97705943ea356146418b44c954d6865848d6c4f50d927a31a48aaee99db76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-12-02T19:06:11Z",
    "title_canon_sha256": "c7ad6e1f5e83231273c5e9a442ee91e51ce619566e117f6762faa3555e7f01e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0421",
    "kind": "arxiv",
    "version": 3
  }
}