Pith Number

pith:HMF3HNK6

pith:2000:HMF3HNK6CTWGYB2OPFSL4VSGWB

not attested not anchored not stored refs pending

Global existence for wave maps with torsion

James Isenberg, Stephen C. Anco

arxiv:math-ph/0007032 v1 · 2000-07-25 · math-ph · math.AP · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HMF3HNK6CTWGYB2OPFSL4VSGWB}

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	2026-07-04T14:33:36.124271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b0bb3b55e14ec6c074e7964be5646b04bf8acfe62fc2611ca10fa9727be6239

Aliases

arxiv: math-ph/0007032 · arxiv_version: math-ph/0007032v1 · doi: 10.48550/arxiv.math-ph/0007032 · pith_short_12: HMF3HNK6CTWG · pith_short_16: HMF3HNK6CTWGYB2O · pith_short_8: HMF3HNK6

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/HMF3HNK6CTWGYB2OPFSL4VSGWB \
  | 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: 3b0bb3b55e14ec6c074e7964be5646b04bf8acfe62fc2611ca10fa9727be6239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d87b80f826e0d648b224a46e13980880f89184db0abcc0ee34adfc1b746839c",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-07-25T18:35:14Z",
    "title_canon_sha256": "95d8c95da1c54c8ee37c824a50456b8f72f90202708b19c4e54e9081d3ad4fc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0007032",
    "kind": "arxiv",
    "version": 1
  }
}