Pith Number

pith:V6NOKZMS

pith:2018:V6NOKZMS36DSQS6FJ6R4AKHS7A

not attested not anchored not stored refs pending

On the commutativity of pull-back and push-forward functors on motivic constructible functions

Jorge Cely, Michel Raibaut

arxiv:1811.06850 v1 · 2018-11-15 · math.AG · math.LO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V6NOKZMS36DSQS6FJ6R4AKHS7A}

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	2026-05-18T00:00:33.706636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af9ae56592df87284bc54fa3c028f2f818c0a2f8ebfab92f7426c2e325945119

Aliases

arxiv: 1811.06850 · arxiv_version: 1811.06850v1 · doi: 10.48550/arxiv.1811.06850 · pith_short_12: V6NOKZMS36DS · pith_short_16: V6NOKZMS36DSQS6F · pith_short_8: V6NOKZMS

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/V6NOKZMS36DSQS6FJ6R4AKHS7A \
  | 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: af9ae56592df87284bc54fa3c028f2f818c0a2f8ebfab92f7426c2e325945119

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b51f4724b990385d7b9f22bbc83baf3af793406d3cb71894a207faadad3470d",
    "cross_cats_sorted": [
      "math.LO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-11-15T14:22:38Z",
    "title_canon_sha256": "4333af56d4e7026d75d2b7462e7135dce9894ac988aac5edfcac35e8fc11e1bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06850",
    "kind": "arxiv",
    "version": 1
  }
}