Pith Number

pith:PCPFUGAQ

pith:2015:PCPFUGAQHZO54RYBCRVJY6IFZE

not attested not anchored not stored refs pending

Elementary topology of champs

Michael McQuillan

arxiv:1507.00797 v1 · 2015-07-03 · math.AG · math.CT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCPFUGAQHZO54RYBCRVJY6IFZE}

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	2026-05-18T01:37:22.691120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

789e5a18103e5dde4701146a9c7905c91e6accd57d3582b5bb8ca1090ff03e97

Aliases

arxiv: 1507.00797 · arxiv_version: 1507.00797v1 · doi: 10.48550/arxiv.1507.00797 · pith_short_12: PCPFUGAQHZO5 · pith_short_16: PCPFUGAQHZO54RYB · pith_short_8: PCPFUGAQ

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/PCPFUGAQHZO54RYBCRVJY6IFZE \
  | 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: 789e5a18103e5dde4701146a9c7905c91e6accd57d3582b5bb8ca1090ff03e97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0acadde7ed76fe2baa136c491373bd36154277b0b14d4310cc514f9980c220d",
    "cross_cats_sorted": [
      "math.CT",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-03T01:18:51Z",
    "title_canon_sha256": "257a5395a1f036a928555a45003de78bd7c86c526f517ea3a9a7c7a1ac77adea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00797",
    "kind": "arxiv",
    "version": 1
  }
}