Pith Number

pith:I6US5HG2

pith:2016:I6US5HG2MWPIWDI737HD4WFCQ3

not attested not anchored not stored refs pending

Counting odd cycles in locally dense graphs

Christian Reiher

arxiv:1604.06833 v1 · 2016-04-22 · 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{I6US5HG2MWPIWDI737HD4WFCQ3}

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	2026-05-18T01:16:23.840777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47a92e9cda659e8b0d1fdfce3e58a286d742462a0bbb178f63da01097eac1fda

Aliases

arxiv: 1604.06833 · arxiv_version: 1604.06833v1 · doi: 10.48550/arxiv.1604.06833 · pith_short_12: I6US5HG2MWPI · pith_short_16: I6US5HG2MWPIWDI7 · pith_short_8: I6US5HG2

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/I6US5HG2MWPIWDI737HD4WFCQ3 \
  | 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: 47a92e9cda659e8b0d1fdfce3e58a286d742462a0bbb178f63da01097eac1fda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8646695c1e29d144d48e79a96f473401c6cf4a9c3256cba380a919fd237894c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-22T22:48:14Z",
    "title_canon_sha256": "a956ecb3fee2d14bdccf67a43ed09d8b0bfb52089315150f4330365170de5bbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06833",
    "kind": "arxiv",
    "version": 1
  }
}