Pith Number

pith:WXGJCRZA

pith:2016:WXGJCRZAXY7XAKVNM56LYIBTUC

not attested not anchored not stored refs pending

Fundamental Groups and Euler Characteristics of Sphere-like Digital Images

Laurence Boxer, P. Christopher Staecker

arxiv:1602.00240 v1 · 2016-01-31 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXGJCRZAXY7XAKVNM56LYIBTUC}

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	2026-05-18T01:21:35.943502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5cc914720be3f702aad677cbc2033a0b80b192902eeda7b52f2d1f0c2edadf1

Aliases

arxiv: 1602.00240 · arxiv_version: 1602.00240v1 · doi: 10.48550/arxiv.1602.00240 · pith_short_12: WXGJCRZAXY7X · pith_short_16: WXGJCRZAXY7XAKVN · pith_short_8: WXGJCRZA

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/WXGJCRZAXY7XAKVNM56LYIBTUC \
  | 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: b5cc914720be3f702aad677cbc2033a0b80b192902eeda7b52f2d1f0c2edadf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b323078a8c91bd60f420c75eaae8b167d92ad6e3a86a6e8fdc4653153daec38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-01-31T12:44:52Z",
    "title_canon_sha256": "3a02ca2b913ca3115b318674bb84fc97e3bf6322d5f70403a29c109aaaa834b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00240",
    "kind": "arxiv",
    "version": 1
  }
}