Pith Number

pith:WXCQJHXU

pith:2013:WXCQJHXULBNZGUFMFUAQGBIPOP

not attested not anchored not stored refs pending

Connected sum at infinity and 4-manifolds

Jack S. Calcut, Patrick V. Haggerty

arxiv:1304.8097 v1 · 2013-04-30 · 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{WXCQJHXULBNZGUFMFUAQGBIPOP}

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	2026-05-18T02:03:38.295507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5c5049ef4585b9350ac2d0103050f73e862285d6035a7d270d86a2870f0633a

Aliases

arxiv: 1304.8097 · arxiv_version: 1304.8097v1 · doi: 10.48550/arxiv.1304.8097 · pith_short_12: WXCQJHXULBNZ · pith_short_16: WXCQJHXULBNZGUFM · pith_short_8: WXCQJHXU

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/WXCQJHXULBNZGUFMFUAQGBIPOP \
  | 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: b5c5049ef4585b9350ac2d0103050f73e862285d6035a7d270d86a2870f0633a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c537f90a1c3f7b64a2cdfe0ebaac209a606f109c1bbb419fcece67895c9b46a8",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-04-30T18:02:57Z",
    "title_canon_sha256": "d5b3b6d7f21a2f09ad05d8bd6d3f89ce4c2dbf70c92289d5788b9e45ffedba55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.8097",
    "kind": "arxiv",
    "version": 1
  }
}