Pith Number

pith:M3HCGCS7

pith:2012:M3HCGCS7ELGFXTCLU7WLAHWBDJ

not attested not anchored not stored refs pending

Spaces of Topological Complexity One

Gregory Lupton, John Oprea, Mark Grant

arxiv:1207.4725 v1 · 2012-07-19 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3HCGCS7ELGFXTCLU7WLAHWBDJ}

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	2026-05-18T03:50:35.953126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66ce230a5f22cc5bcc4ba7ecb01ec11a45bb51b74070e7fcfd21d3cfcb31595a

Aliases

arxiv: 1207.4725 · arxiv_version: 1207.4725v1 · doi: 10.48550/arxiv.1207.4725 · pith_short_12: M3HCGCS7ELGF · pith_short_16: M3HCGCS7ELGFXTCL · pith_short_8: M3HCGCS7

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/M3HCGCS7ELGFXTCLU7WLAHWBDJ \
  | 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: 66ce230a5f22cc5bcc4ba7ecb01ec11a45bb51b74070e7fcfd21d3cfcb31595a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a76fa7d46764fc897d4e7245ef4508cd34e66a4c6737114a02d15764c950741c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-07-19T16:23:11Z",
    "title_canon_sha256": "ea83f6a2c700bf8796a778d88a7479bcb8a657e251153666719039d27b4a44f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4725",
    "kind": "arxiv",
    "version": 1
  }
}