Pith Number

pith:2GNVNDV2

pith:2015:2GNVNDV2HX4IOHNKPTOHE7ZWIK

not attested not anchored not stored refs pending

Fundamental Group Algorithm for low dimensional tessellated CW complexes

G. Ellis, M. Juda, M. Mrozek, P. Brendel

arxiv:1507.03396 v1 · 2015-07-13 · math.AT · 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{2GNVNDV2HX4IOHNKPTOHE7ZWIK}

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	2026-05-18T01:36:46.395027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d19b568eba3df8871daa7cdc727f3642b30ae746698b01a1a4b6889a0df2e6cb

Aliases

arxiv: 1507.03396 · arxiv_version: 1507.03396v1 · doi: 10.48550/arxiv.1507.03396 · pith_short_12: 2GNVNDV2HX4I · pith_short_16: 2GNVNDV2HX4IOHNK · pith_short_8: 2GNVNDV2

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/2GNVNDV2HX4IOHNKPTOHE7ZWIK \
  | 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: d19b568eba3df8871daa7cdc727f3642b30ae746698b01a1a4b6889a0df2e6cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4436afefe9ab236ae52ef54421904488cc8fa0cf41a3dae21038c10b3b987be3",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-07-13T11:14:25Z",
    "title_canon_sha256": "103d1b02e9db2bd2db4b7ce0a78d9f0029ca0b61ed95c8b5ae222795c6f03b3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03396",
    "kind": "arxiv",
    "version": 1
  }
}