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Pith Number

pith:ODPB5KHL

pith:2015:ODPB5KHLJJ7CZITQQE5JSLRMCZ
not attested not anchored not stored refs pending

Morse moves in flow categories

Andrew Lobb, Dan Jones, Dirk Schuetz

arxiv:1507.03502 v1 · 2015-07-13 · math.GT · math.AT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ODPB5KHLJJ7CZITQQE5JSLRMCZ}

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 2026-05-18T01:36:58.672904Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

70de1ea8eb4a7e2ca270813a992e2c16721e7996196a8a9b73cc778ea368fc3b

Aliases

arxiv: 1507.03502 · arxiv_version: 1507.03502v1 · doi: 10.48550/arxiv.1507.03502 · pith_short_12: ODPB5KHLJJ7C · pith_short_16: ODPB5KHLJJ7CZITQ · pith_short_8: ODPB5KHL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ODPB5KHLJJ7CZITQQE5JSLRMCZ \
  | 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: 70de1ea8eb4a7e2ca270813a992e2c16721e7996196a8a9b73cc778ea368fc3b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "602c9a23b2ddcf502211fa0cc2ab7f317c443baf83ddd1cab6a7f06dba3b5037",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-07-13T15:49:58Z",
    "title_canon_sha256": "6c2c7045aebcee8bec3d81d450c972143a2244fb62cf0bf518256651965d2420"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03502",
    "kind": "arxiv",
    "version": 1
  }
}