Pith Number

pith:4IENQMA2

pith:2000:4IENQMA2V2ITR6A4TCR3DSTIWY

not attested not anchored not stored refs pending

Higher order intersection numbers of 2-spheres in 4-manifolds

Peter Teichner, Rob Schneiderman

arxiv:math/0008048 v2 · 2000-08-07 · 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{4IENQMA2V2ITR6A4TCR3DSTIWY}

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	2026-05-18T02:41:33.419476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e208d8301aae9138f81c98a3b1ca68b63686d57e01ececfee40ef629a447a3c5

Aliases

arxiv: math/0008048 · arxiv_version: math/0008048v2 · doi: 10.48550/arxiv.math/0008048 · pith_short_12: 4IENQMA2V2IT · pith_short_16: 4IENQMA2V2ITR6A4 · pith_short_8: 4IENQMA2

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/4IENQMA2V2ITR6A4TCR3DSTIWY \
  | 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: e208d8301aae9138f81c98a3b1ca68b63686d57e01ececfee40ef629a447a3c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d375e88cd95d281e0010de902858b8b451f6d17a4b1f00ac854642c2758df56",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2000-08-07T03:31:07Z",
    "title_canon_sha256": "f33592c0b36182daf24b57ee59e1ae0b04b7692dd8cfdd23337cbb6a539beb1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0008048",
    "kind": "arxiv",
    "version": 2
  }
}