Pith Number

pith:5ZCO35BD

pith:2018:5ZCO35BDNFGSILRKSW4IT3QRP5

not attested not anchored not stored refs pending

Normal functions for algebraically trivial cycles are algebraic for arithmetic reasons

Charles Vial, Jeff Achter, Sebastian Casalaina-Martin

arxiv:1810.07404 v2 · 2018-10-17 · 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{5ZCO35BDNFGSILRKSW4IT3QRP5}

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.

Cited by

1 paper in Pith

Cycle class maps and birational invariants

Receipt and verification

First computed	2026-07-05T00:12:23.551546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee44edf423694d242e2a95b889ee117f7120bebb474a7191076196aa52613a80

Aliases

arxiv: 1810.07404 · arxiv_version: 1810.07404v2 · doi: 10.48550/arxiv.1810.07404 · pith_short_12: 5ZCO35BDNFGS · pith_short_16: 5ZCO35BDNFGSILRK · pith_short_8: 5ZCO35BD

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/5ZCO35BDNFGSILRKSW4IT3QRP5 \
  | 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: ee44edf423694d242e2a95b889ee117f7120bebb474a7191076196aa52613a80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f60ab0e5ed64f9317fbf9fe0cb6c2d16b2c1b3ee4a11ecb7946bfd7042be53bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-10-17T07:12:26Z",
    "title_canon_sha256": "379cb2b7cea719a74b0645f80a8c40d31f63272082d891ce40a8e5421d4aaab9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07404",
    "kind": "arxiv",
    "version": 2
  }
}