Pith Number

pith:IOQZ65HG

pith:2015:IOQZ65HGPT7MKNHNGPZRCKY3RI

not attested not anchored not stored refs pending

Intersection theory in algebraic cobordism

Marc Levine

arxiv:1512.08911 v1 · 2015-12-30 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IOQZ65HGPT7MKNHNGPZRCKY3RI}

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	2026-05-18T01:23:34.511408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43a19f74e67cfec534ed33f3112b1b8a065a5048e5af19cf464b7e4da7247a9c

Aliases

arxiv: 1512.08911 · arxiv_version: 1512.08911v1 · doi: 10.48550/arxiv.1512.08911 · pith_short_12: IOQZ65HGPT7M · pith_short_16: IOQZ65HGPT7MKNHN · pith_short_8: IOQZ65HG

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/IOQZ65HGPT7MKNHNGPZRCKY3RI \
  | 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: 43a19f74e67cfec534ed33f3112b1b8a065a5048e5af19cf464b7e4da7247a9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8de4ac0c150830ee226f5c2d95c1437bbbcd0cb8bbda98802f6c955e7e30254",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-30T11:23:54Z",
    "title_canon_sha256": "407f53609d6986d760caa1316a02deea4d150a4d32d1efaaee4f8b3ca8dbab36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08911",
    "kind": "arxiv",
    "version": 1
  }
}