Pith Number

pith:KQIV5MTC

pith:2005:KQIV5MTCAM7RZV5MYH2FVHPYRC

not attested not anchored not stored refs pending

Graphs and $({\Bbb Z}_2)^k$-actions

Zhi L\"u

arxiv:math/0508643 v8 · 2005-08-31 · math.AT · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQIV5MTCAM7RZV5MYH2FVHPYRC}

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	2026-07-04T17:29:06.023592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54115eb262033f1cd7acc1f45a9df888b285ad80edc6a97a65b132990d2fa548

Aliases

arxiv: math/0508643 · arxiv_version: math/0508643v8 · doi: 10.48550/arxiv.math/0508643 · pith_short_12: KQIV5MTCAM7R · pith_short_16: KQIV5MTCAM7RZV5M · pith_short_8: KQIV5MTC

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/KQIV5MTCAM7RZV5MYH2FVHPYRC \
  | 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: 54115eb262033f1cd7acc1f45a9df888b285ad80edc6a97a65b132990d2fa548

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4725fc65018f6b859959ce875a8051ca5cd2ab12d5df5dcb5ef056bb12fed805",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2005-08-31T13:31:53Z",
    "title_canon_sha256": "01c5b1c7b2113ae28e9ee90034510b68f9502bd5021d8be86aa9651efec33d1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508643",
    "kind": "arxiv",
    "version": 8
  }
}