Pith Number

pith:MBTDU6ML

pith:2014:MBTDU6MLACL4SHXJY34S2PBCDY

not attested not anchored not stored refs pending

Pairs of pants, Pochhammer curves and $L^2$-invariants

Marcel B\"okstedt, Nuno M. Rom\~ao

arxiv:1410.2429 v2 · 2014-10-09 · math-ph · math.AT · math.GT · 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{MBTDU6MLACL4SHXJY34S2PBCDY}

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	2026-05-18T02:39:31.546614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60663a798b0097c91ee9c6f92d3c221e0e3c2fca31ff539c466cc3aab46b7c8b

Aliases

arxiv: 1410.2429 · arxiv_version: 1410.2429v2 · doi: 10.48550/arxiv.1410.2429 · pith_short_12: MBTDU6MLACL4 · pith_short_16: MBTDU6MLACL4SHXJ · pith_short_8: MBTDU6ML

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/MBTDU6MLACL4SHXJY34S2PBCDY \
  | 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: 60663a798b0097c91ee9c6f92d3c221e0e3c2fca31ff539c466cc3aab46b7c8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41f781b2ee5fdbc6cbb06c823faac81be3f575c837df8390ea62cbea18a55fcf",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-10-09T11:34:36Z",
    "title_canon_sha256": "58c6fc29e2756ff0a8d84c0fc6ca66b9c6dccaa608b552592fc78f2a1ec392fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2429",
    "kind": "arxiv",
    "version": 2
  }
}