Pith Number

pith:ACUVQI7S

pith:2011:ACUVQI7S4KEZ4WDUEY2ZFHZ7PA

not attested not anchored not stored refs pending

Computational complexity of topological invariants

Manuel Amann

arxiv:1112.0812 v1 · 2011-12-05 · math.AT · 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{ACUVQI7S4KEZ4WDUEY2ZFHZ7PA}

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	2026-05-18T04:06:57.729106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00a95823f2e2899e58742635929f3f780a2c2f1694fe38bf149af7239d5b72cc

Aliases

arxiv: 1112.0812 · arxiv_version: 1112.0812v1 · doi: 10.48550/arxiv.1112.0812 · pith_short_12: ACUVQI7S4KEZ · pith_short_16: ACUVQI7S4KEZ4WDU · pith_short_8: ACUVQI7S

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/ACUVQI7S4KEZ4WDUEY2ZFHZ7PA \
  | 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: 00a95823f2e2899e58742635929f3f780a2c2f1694fe38bf149af7239d5b72cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0604f78d06d5a2cca136216f8a89cd236701984f29d31f5e8be15523e46631ff",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-12-05T00:00:33Z",
    "title_canon_sha256": "957f5f52e36ebfae21cba2a2a618c6cab930240d4114d0de995bbd8fe29f7069"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0812",
    "kind": "arxiv",
    "version": 1
  }
}