Pith Number

pith:3CTGSFED

pith:2015:3CTGSFED3A35KGNU5B7BHXMFRW

not attested not anchored not stored refs pending

Self-dual binary codes from small covers and simple polytopes

Bo Chen, Li Yu, Zhi L\"u

arxiv:1510.02372 v2 · 2015-10-08 · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CTGSFED3A35KGNU5B7BHXMFRW}

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	2026-05-18T00:07:01.322122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8a6691483d837d519b4e87e13dd858d81b7dd0d31c460d00d01466fdd0f2ae6

Aliases

arxiv: 1510.02372 · arxiv_version: 1510.02372v2 · doi: 10.48550/arxiv.1510.02372 · pith_short_12: 3CTGSFED3A35 · pith_short_16: 3CTGSFED3A35KGNU · pith_short_8: 3CTGSFED

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/3CTGSFED3A35KGNU5B7BHXMFRW \
  | 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: d8a6691483d837d519b4e87e13dd858d81b7dd0d31c460d00d01466fdd0f2ae6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a951c4f108ca1e0162d498c7e102815aab36d8a971a5c162f59dd8f44131744",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-10-08T15:42:53Z",
    "title_canon_sha256": "b23e552623110342c3369ae07714e1383c79d6fb8afdc8611a1336a4a53607b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02372",
    "kind": "arxiv",
    "version": 2
  }
}