Pith Number

pith:5BAFNUQQ

pith:2012:5BAFNUQQXRNGGHQAMJJWIECT66

not attested not anchored not stored refs pending

Universal quadratic forms and Whitney tower intersection invariants

James Conant, Peter Teichner, Rob Schneiderman

arxiv:1207.0109 v1 · 2012-06-30 · 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{5BAFNUQQXRNGGHQAMJJWIECT66}

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	2026-05-18T01:22:26.521773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e84056d210bc5a631e006253641053f78ee0758268039ea2d8ec399c633244cb

Aliases

arxiv: 1207.0109 · arxiv_version: 1207.0109v1 · doi: 10.48550/arxiv.1207.0109 · pith_short_12: 5BAFNUQQXRNG · pith_short_16: 5BAFNUQQXRNGGHQA · pith_short_8: 5BAFNUQQ

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/5BAFNUQQXRNGGHQAMJJWIECT66 \
  | 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: e84056d210bc5a631e006253641053f78ee0758268039ea2d8ec399c633244cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f1975cf231bf37389c94643ae009ee56a654075b23a195103c36ff77441519a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-06-30T15:18:58Z",
    "title_canon_sha256": "151ca16a58655b7c2653d26f44147317bba90e285ecbea9afea6935288438095"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0109",
    "kind": "arxiv",
    "version": 1
  }
}