Pith Number

pith:TG777OZH

pith:2023:TG777OZH7RAELW5I5S4AZC5YFD

not attested not anchored not stored refs pending

Approximating Long Cycle Above Dirac's Guarantee

Danil Sagunov, Fedor F. Fomin, Kirill Simonov, Petr A. Golovach

arxiv:2305.02011 v1 · 2023-05-03 · cs.DS · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TG777OZH7RAELW5I5S4AZC5YFD}

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	2026-07-05T06:06:46.462585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99bfffbb27fc4045dba8ecb80c8bb828f7b261f25c23132263c68b0ce523aa17

Aliases

arxiv: 2305.02011 · arxiv_version: 2305.02011v1 · doi: 10.48550/arxiv.2305.02011 · pith_short_12: TG777OZH7RAE · pith_short_16: TG777OZH7RAELW5I · pith_short_8: TG777OZH

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/TG777OZH7RAELW5I5S4AZC5YFD \
  | 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: 99bfffbb27fc4045dba8ecb80c8bb828f7b261f25c23132263c68b0ce523aa17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf433e4ea760b46615458a8a57415c7afc72b79679ff807e29481a7ffc9672e8",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2023-05-03T10:04:22Z",
    "title_canon_sha256": "e2f8a2e3a4ca72c4980aaf2b12f7432ce8685b9218ab1f39e6d0194430aed928"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.02011",
    "kind": "arxiv",
    "version": 1
  }
}