Pith Number

pith:BZDL57EZ

pith:2003:BZDL57EZWQYHKNOKPNA6AIYALZ

not attested not anchored not stored refs pending

Homotopy self-equivalences of 4-manifolds

Ian Hambleton, Matthias Kreck

arxiv:math/0307314 v2 · 2003-07-23 · math.GT · 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{BZDL57EZWQYHKNOKPNA6AIYALZ}

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	2026-05-18T03:34:00.557621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e46befc99b4307535ca7b41e023005e72b0762956baca12cf40a67fbfceb649

Aliases

arxiv: math/0307314 · arxiv_version: math/0307314v2 · doi: 10.48550/arxiv.math/0307314 · pith_short_12: BZDL57EZWQYH · pith_short_16: BZDL57EZWQYHKNOK · pith_short_8: BZDL57EZ

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/BZDL57EZWQYHKNOKPNA6AIYALZ \
  | 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: 0e46befc99b4307535ca7b41e023005e72b0762956baca12cf40a67fbfceb649

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4ef430ab4a9046f634e16a13c8f45c3cdadcdc76c395a06d92b48f4bf99074a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-07-23T13:48:11Z",
    "title_canon_sha256": "dee1ce8249ecb7f4a0b312e00da19bff7ba9061e242adb951f60ceb330bcc97b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307314",
    "kind": "arxiv",
    "version": 2
  }
}