Pith Number

pith:FJFPUX6C

pith:2015:FJFPUX6CNB2R7C5BY6WEC3LEAC

not attested not anchored not stored refs pending

Higher limits, homology theories and fr-codes

Roman Mikhailov, Sergei O. Ivanov

arxiv:1510.09044 v1 · 2015-10-30 · math.GR · math.AT · math.CT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJFPUX6CNB2R7C5BY6WEC3LEAC}

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	2026-05-18T01:28:23.403980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a4afa5fc268751f8ba1c7ac416d640080b89155dc2245122cb575e241ebb304

Aliases

arxiv: 1510.09044 · arxiv_version: 1510.09044v1 · doi: 10.48550/arxiv.1510.09044 · pith_short_12: FJFPUX6CNB2R · pith_short_16: FJFPUX6CNB2R7C5B · pith_short_8: FJFPUX6C

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/FJFPUX6CNB2R7C5BY6WEC3LEAC \
  | 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: 2a4afa5fc268751f8ba1c7ac416d640080b89155dc2245122cb575e241ebb304

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f8fbdf4c95c68b43dc67efed9d25a98cf7a867d28adc90da89a47a4268ec14a",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-10-30T10:49:27Z",
    "title_canon_sha256": "13a231d321e99a8ea25593fd5a9c682c363d69133624519d4f86b88d53b9c81e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.09044",
    "kind": "arxiv",
    "version": 1
  }
}