Pith Number

pith:AHDFBFWI

pith:1994:AHDFBFWILXZVIWUGSO6KLD7EAF

not attested not anchored not stored refs pending

Inverting sets and the packing problem

Emanuel Knill, Mark Goldberg, Thomas Spencer, Vance Faber

arxiv:math/9409213 v1 · 1994-09-16 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AHDFBFWILXZVIWUGSO6KLD7EAF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:05:51.110301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01c65096c85df3545a8693bca58fe4015332e3e2e041ff8b0808a562c6d8fad6

Aliases

arxiv: math/9409213 · arxiv_version: math/9409213v1 · doi: 10.48550/arxiv.math/9409213 · pith_short_12: AHDFBFWILXZV · pith_short_16: AHDFBFWILXZVIWUG · pith_short_8: AHDFBFWI

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/AHDFBFWILXZVIWUGSO6KLD7EAF \
  | 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: 01c65096c85df3545a8693bca58fe4015332e3e2e041ff8b0808a562c6d8fad6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7390070f51f49a4d958b7b02282a41b4eaee3deca65e53a2df2c342863d9e8af",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1994-09-16T00:00:00Z",
    "title_canon_sha256": "606c834e741a224db974a5744f3eda33c9cd7e7098bd62c349c0e452f7b2b488"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9409213",
    "kind": "arxiv",
    "version": 1
  }
}