Pith Number

pith:IB4KJ3GG

pith:2016:IB4KJ3GGZX3GOHXTG5WDAH6I7F

not attested not anchored not stored refs pending

Extremal results for random discrete structures

Mathias Schacht

arxiv:1603.00894 v2 · 2016-03-02 · 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{IB4KJ3GGZX3GOHXTG5WDAH6I7F}

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	2026-05-18T01:04:28.005289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4078a4ecc6cdf6671ef3376c301fc8f96426c74c97d0c1e45d35efa7a7629ef9

Aliases

arxiv: 1603.00894 · arxiv_version: 1603.00894v2 · doi: 10.48550/arxiv.1603.00894 · pith_short_12: IB4KJ3GGZX3G · pith_short_16: IB4KJ3GGZX3GOHXT · pith_short_8: IB4KJ3GG

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/IB4KJ3GGZX3GOHXTG5WDAH6I7F \
  | 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: 4078a4ecc6cdf6671ef3376c301fc8f96426c74c97d0c1e45d35efa7a7629ef9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a108f5c42f17ca98ae12a11938ea34617880a7e67aa07357eb93475188cbe6b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-02T21:23:18Z",
    "title_canon_sha256": "b9f4eca52050fb702137ae9563dc34e00e76904b4df7e6c4c85f2cf2e983fa04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00894",
    "kind": "arxiv",
    "version": 2
  }
}