Pith Number

pith:XUIUWDC3

pith:2009:XUIUWDC3AVCQGB2P5G3LGJJXAJ

not attested not anchored not stored refs pending

String Topology for Lie Groups

Richard A. Hepworth

arxiv:0905.1199 v1 · 2009-05-08 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XUIUWDC3AVCQGB2P5G3LGJJXAJ}

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	2026-05-18T04:40:56.226505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd114b0c5b054503074fe9b6b3253702673e4c167c0aba986f404138f33a0513

Aliases

arxiv: 0905.1199 · arxiv_version: 0905.1199v1 · doi: 10.48550/arxiv.0905.1199 · pith_short_12: XUIUWDC3AVCQ · pith_short_16: XUIUWDC3AVCQGB2P · pith_short_8: XUIUWDC3

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/XUIUWDC3AVCQGB2P5G3LGJJXAJ \
  | 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: bd114b0c5b054503074fe9b6b3253702673e4c167c0aba986f404138f33a0513

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4705d72bbade9c1ae3aca6b842e3b46e6b107e3db0a894e8e9c528e4b7753336",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-05-08T08:17:01Z",
    "title_canon_sha256": "09df1cf7da218a7c3ca310b3ac58d1768f67de0082b9c374b0a362db3a227879"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1199",
    "kind": "arxiv",
    "version": 1
  }
}