Pith Number

pith:AL6PECC5

pith:1993:AL6PECC5X5OV65CZFBPY7CE4CO

not attested not anchored not stored refs pending

Dominating functions and graphs

Juris Stepr\=ans, Reinhard Diestel, Saharon Shelah

arxiv:math/9308215 v1 · 1993-08-15 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AL6PECC5X5OV65CZFBPY7CE4CO}

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	2026-05-18T01:05:51.968418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02fcf2085dbf5d5f7459285f8f889c13a960f7b6bfa74ecca3193e4295731385

Aliases

arxiv: math/9308215 · arxiv_version: math/9308215v1 · doi: 10.48550/arxiv.math/9308215 · pith_short_12: AL6PECC5X5OV · pith_short_16: AL6PECC5X5OV65CZ · pith_short_8: AL6PECC5

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/AL6PECC5X5OV65CZFBPY7CE4CO \
  | 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: 02fcf2085dbf5d5f7459285f8f889c13a960f7b6bfa74ecca3193e4295731385

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de28bb9f3091374568d0cb03f33592c97c3a79fbc256619cf3b779c23dc10a1d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1993-08-15T00:00:00Z",
    "title_canon_sha256": "c3707b26c2aa2d4e035bb81b7bf12cd7ff757c00e63e56fb7b072ca8a464bbd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9308215",
    "kind": "arxiv",
    "version": 1
  }
}