Pith Number

pith:WIWH6JNN

pith:2016:WIWH6JNNAW7BLRBIS5Q5O44Z7U

not attested not anchored not stored refs pending

Morphisms of 1-motives defined by line bundles

Cristiana Bertolin, Sylvain Brochard

arxiv:1604.02381 v2 · 2016-04-08 · 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{WIWH6JNNAW7BLRBIS5Q5O44Z7U}

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	2026-05-18T00:07:12.616502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b22c7f25ad05be15c4289761d77399fd01ce60c45deaf65c37fe356c30ca7907

Aliases

arxiv: 1604.02381 · arxiv_version: 1604.02381v2 · doi: 10.48550/arxiv.1604.02381 · pith_short_12: WIWH6JNNAW7B · pith_short_16: WIWH6JNNAW7BLRBI · pith_short_8: WIWH6JNN

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/WIWH6JNNAW7BLRBIS5Q5O44Z7U \
  | 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: b22c7f25ad05be15c4289761d77399fd01ce60c45deaf65c37fe356c30ca7907

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b204dcf6c76d9f02d922e2f723bf961bc938a75857cd64235993bcc13c97136",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-08T15:41:31Z",
    "title_canon_sha256": "3a63a6ccc9a294059c725972d1aa96d112897aa2fca47ac05e0eaa1c71ca5d9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02381",
    "kind": "arxiv",
    "version": 2
  }
}