Pith Number

pith:2EKCVR2O

pith:2000:2EKCVR2OXNQ4ASQOIZDA63VWYW

not attested not anchored not stored refs pending

Stabilisation, bordism and embedded spheres in 4--manifolds

Christian Bohr

arxiv:math/0012235 v3 · 2000-12-22 · 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{2EKCVR2OXNQ4ASQOIZDA63VWYW}

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	2026-05-18T02:41:33.353777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1142ac74ebb61c04a0e46460f6eb6c58008e3cac4a8d6dee6565ecc9a82d66d

Aliases

arxiv: math/0012235 · arxiv_version: math/0012235v3 · doi: 10.48550/arxiv.math/0012235 · pith_short_12: 2EKCVR2OXNQ4 · pith_short_16: 2EKCVR2OXNQ4ASQO · pith_short_8: 2EKCVR2O

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/2EKCVR2OXNQ4ASQOIZDA63VWYW \
  | 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: d1142ac74ebb61c04a0e46460f6eb6c58008e3cac4a8d6dee6565ecc9a82d66d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "732e067afdc757fd5baea84ba51e7dc722f4f7daf81c6d9ef26ddb5543cd9d93",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2000-12-22T15:33:55Z",
    "title_canon_sha256": "2f5c534e409df93b165d24b1e899f9f3251236e24844416e63fcac2a96216834"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0012235",
    "kind": "arxiv",
    "version": 3
  }
}