Pith Number

pith:T3QMXMUJ

pith:2015:T3QMXMUJAMCDKFBZGG2MJNJRZR

not attested not anchored not stored refs pending

Motivic vanishing cycles as a motivic measure

Olaf M. Schn\"urer, Valery A. Lunts

arxiv:1511.02453 v2 · 2015-11-08 · 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{T3QMXMUJAMCDKFBZGG2MJNJRZR}

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	2026-05-18T01:21:15.565115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ee0cbb289030435143931b4c4b531cc7cca9acb1db8f85026032ef4f0868f03

Aliases

arxiv: 1511.02453 · arxiv_version: 1511.02453v2 · doi: 10.48550/arxiv.1511.02453 · pith_short_12: T3QMXMUJAMCD · pith_short_16: T3QMXMUJAMCDKFBZ · pith_short_8: T3QMXMUJ

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/T3QMXMUJAMCDKFBZGG2MJNJRZR \
  | 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: 9ee0cbb289030435143931b4c4b531cc7cca9acb1db8f85026032ef4f0868f03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12d189711d0431e29772d2ff4aabf51b3a2f3874cafeb4dfb769b202b712f87f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-08T07:44:37Z",
    "title_canon_sha256": "a38a6a08b10d846ca0db5f9f8a69443884300419df35b325c4367e8f85d9b52b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02453",
    "kind": "arxiv",
    "version": 2
  }
}