Pith Number

pith:X366YIGV

pith:2012:X366YIGV5L7X7UGE2KKLW6RVUA

not attested not anchored not stored refs pending

G-coupling functions

Alexander M. Rubinov, Daniel Morales-Silva, Wilfredo Sosa

arxiv:1210.5921 v1 · 2012-10-18 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X366YIGV5L7X7UGE2KKLW6RVUA}

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	2026-05-18T03:42:34.678487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

befdec20d5eaff7fd0c4d294bb7a35a0095e6aee21359f3741657245a9ab079b

Aliases

arxiv: 1210.5921 · arxiv_version: 1210.5921v1 · doi: 10.48550/arxiv.1210.5921 · pith_short_12: X366YIGV5L7X · pith_short_16: X366YIGV5L7X7UGE · pith_short_8: X366YIGV

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/X366YIGV5L7X7UGE2KKLW6RVUA \
  | 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: befdec20d5eaff7fd0c4d294bb7a35a0095e6aee21359f3741657245a9ab079b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80612b723aa72305c731f04ef9b767184f5f0a33f506a503c173b899f9501d0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-10-18T21:19:54Z",
    "title_canon_sha256": "5691c348609eafd3e623d462bdb68797d07d665ff118e38fd523e44c28905121"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5921",
    "kind": "arxiv",
    "version": 1
  }
}