Pith Number

pith:S5745L2I

pith:2016:S5745L2IXUPQNGUANV24BH25M5

not attested not anchored not stored refs pending

Excluding a large theta graph

Emily Marshall, Guoli Ding

arxiv:1609.01221 v1 · 2016-09-05 · 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{S5745L2IXUPQNGUANV24BH25M5}

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	2026-05-18T01:06:18.593257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

977fceaf48bd1f069a806d75c09f5d6775c39769c506632dd666a77b1b22a46b

Aliases

arxiv: 1609.01221 · arxiv_version: 1609.01221v1 · doi: 10.48550/arxiv.1609.01221 · pith_short_12: S5745L2IXUPQ · pith_short_16: S5745L2IXUPQNGUA · pith_short_8: S5745L2I

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/S5745L2IXUPQNGUANV24BH25M5 \
  | 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: 977fceaf48bd1f069a806d75c09f5d6775c39769c506632dd666a77b1b22a46b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "971452f1f8e1fe5642fa784da80e9a57f0974fac534b26774db337ec8acb196e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-05T16:53:20Z",
    "title_canon_sha256": "1cf47d248b7f1ee11ef4bc4aa4275eefe4ca7958976b4757bd1b6832b75174bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01221",
    "kind": "arxiv",
    "version": 1
  }
}