Pith Number

pith:LI26ULSA

pith:2001:LI26ULSASGVYF5ALXKVSVSLB34

not attested not anchored not stored refs pending

Augmental Homology and the Kynneth Formula for Joins

G. Fors

arxiv:math/0109073 v1 · 2001-09-11 · math.AT · 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{LI26ULSASGVYF5ALXKVSVSLB34}

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.

Cited by

1 paper in Pith

Combinatorial Models for Linear Homotopy Theories

Receipt and verification

First computed	2026-07-04T14:35:30.961788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a35ea2e4091ab82f40bbaab2ac961df1abca28a18b15a4c97aae80193e96a3f

Aliases

arxiv: math/0109073 · arxiv_version: math/0109073v1 · doi: 10.48550/arxiv.math/0109073 · pith_short_12: LI26ULSASGVY · pith_short_16: LI26ULSASGVYF5AL · pith_short_8: LI26ULSA

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/LI26ULSASGVYF5ALXKVSVSLB34 \
  | 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: 5a35ea2e4091ab82f40bbaab2ac961df1abca28a18b15a4c97aae80193e96a3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8456656b8e46ba24ba693c2031b5bcc4ef5742f6c13c0ade17ebc5cb56d413f4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2001-09-11T20:42:59Z",
    "title_canon_sha256": "54f28ce39a414521a205a6b15c199e8daef4a707fe26ebfd77a424e0dd7712d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0109073",
    "kind": "arxiv",
    "version": 1
  }
}