Pith Number

pith:FACY44QV

pith:2022:FACY44QVNZBMSL7KIACQJMBSTK

not attested not anchored not stored refs pending

Homotopy and the Homomorphism Threshold of Odd Cycles

Maya Sankar

arxiv:2206.07525 v1 · 2022-06-15 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FACY44QVNZBMSL7KIACQJMBSTK}

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	2026-07-05T04:32:06.030471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28058e72156e42c92fea400504b0329abc7cfaefef796723f6d845b6b035cb48

Aliases

arxiv: 2206.07525 · arxiv_version: 2206.07525v1 · doi: 10.48550/arxiv.2206.07525 · pith_short_12: FACY44QVNZBM · pith_short_16: FACY44QVNZBMSL7K · pith_short_8: FACY44QV

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/FACY44QVNZBMSL7KIACQJMBSTK \
  | 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: 28058e72156e42c92fea400504b0329abc7cfaefef796723f6d845b6b035cb48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ffb24da213f763cad936bcd1334223dd9b3b06c84cb2fda4330228bb7ac13db",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-06-15T13:16:23Z",
    "title_canon_sha256": "97c455a0d4832568b33485816d55a69034d051b544cbdfc17b54e787dcfe9850"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.07525",
    "kind": "arxiv",
    "version": 1
  }
}