Pith Number

pith:FMR6FQ3V

pith:2016:FMR6FQ3V5QLJ7QAGLQ5NXU2GD5

not attested not anchored not stored refs pending

On the image of the associated form morphism

Alexander Isaev

arxiv:1609.01027 v2 · 2016-09-05 · 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{FMR6FQ3V5QLJ7QAGLQ5NXU2GD5}

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	2026-05-18T01:03:56.485749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b23e2c375ec169fc0065c3adbd3461f51de61e47e7e324bcdb7e0b5d3a079e8

Aliases

arxiv: 1609.01027 · arxiv_version: 1609.01027v2 · doi: 10.48550/arxiv.1609.01027 · pith_short_12: FMR6FQ3V5QLJ · pith_short_16: FMR6FQ3V5QLJ7QAG · pith_short_8: FMR6FQ3V

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/FMR6FQ3V5QLJ7QAGLQ5NXU2GD5 \
  | 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: 2b23e2c375ec169fc0065c3adbd3461f51de61e47e7e324bcdb7e0b5d3a079e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d4c88e1268a4c8ee97a19279acef71b45346deee8f6ba883d975263c6215f32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-05T04:50:55Z",
    "title_canon_sha256": "4a512b4e87ec937de31839d77caaee473a25fe1abbd401915460e3c660640e01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01027",
    "kind": "arxiv",
    "version": 2
  }
}