Pith Number

pith:ESTLJRYL

pith:2016:ESTLJRYLAAXNJAEWMHIQWLKX3E

not attested not anchored not stored refs pending

One-sided epsilon-approximants

Boris Bukh, Gabriel Nivasch

arxiv:1603.05717 v2 · 2016-03-17 · math.CO · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESTLJRYLAAXNJAEWMHIQWLKX3E}

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	2026-05-18T01:13:23.437652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24a6b4c70b002ed4809661d10b2d57d93ff43586cca58607a03b55f90d6d90b4

Aliases

arxiv: 1603.05717 · arxiv_version: 1603.05717v2 · doi: 10.48550/arxiv.1603.05717 · pith_short_12: ESTLJRYLAAXN · pith_short_16: ESTLJRYLAAXNJAEW · pith_short_8: ESTLJRYL

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/ESTLJRYLAAXNJAEWMHIQWLKX3E \
  | 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: 24a6b4c70b002ed4809661d10b2d57d93ff43586cca58607a03b55f90d6d90b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c6d3b0da9b6c93edb86572706cf06e330fc52b7631ade4fde922008e2561086",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-17T22:44:50Z",
    "title_canon_sha256": "b234740bdd18e3a530bec2392e8c6b00e8a41143a93b9f2f146169c894ad0aca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05717",
    "kind": "arxiv",
    "version": 2
  }
}