Pith Number

pith:ZCJEZX3U

pith:2015:ZCJEZX3URZPQGDQBAPOLTV7LOQ

not attested not anchored not stored refs pending

Quasi-alternating links with small determinant

Steven Sivek, Tye Lidman

arxiv:1507.04705 v1 · 2015-07-16 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCJEZX3URZPQGDQBAPOLTV7LOQ}

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	2026-05-18T00:51:28.601436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8924cdf748e5f030e0103dcb9d7eb7404ca3c52108614a7f369f8e2eaaa2e25

Aliases

arxiv: 1507.04705 · arxiv_version: 1507.04705v1 · doi: 10.48550/arxiv.1507.04705 · pith_short_12: ZCJEZX3URZPQ · pith_short_16: ZCJEZX3URZPQGDQB · pith_short_8: ZCJEZX3U

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/ZCJEZX3URZPQGDQBAPOLTV7LOQ \
  | 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: c8924cdf748e5f030e0103dcb9d7eb7404ca3c52108614a7f369f8e2eaaa2e25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1390e36fb479048326fc196b2e7af7e9378b5fdb6c9d28ea22ca023df0765be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-07-16T19:02:09Z",
    "title_canon_sha256": "cc1e08104da9dca40d4d901a88bf4cc4eda8996a5bbca36f3f85cb1ece4f2e2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04705",
    "kind": "arxiv",
    "version": 1
  }
}