Pith Number

pith:4TOPEJDH

pith:2019:4TOPEJDHDZTF45LTXMHTCDHFUH

not attested not anchored not stored refs pending

Concomitants of Ternary Quartics and Vector-valued Siegel and Teichm\"uller Modular Forms of Genus Three

Carel Faber, Fabien Cl\'ery, Gerard van der Geer

arxiv:1908.04248 v2 · 2019-08-12 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TOPEJDHDZTF45LTXMHTCDHFUH}

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	2026-07-05T01:11:41.195944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4dcf224671e665e7573bb0f310ce5a1c84868d969fe4c1890605bd0e34ac3b9

Aliases

arxiv: 1908.04248 · arxiv_version: 1908.04248v2 · doi: 10.48550/arxiv.1908.04248 · pith_short_12: 4TOPEJDHDZTF · pith_short_16: 4TOPEJDHDZTF45LT · pith_short_8: 4TOPEJDH

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/4TOPEJDHDZTF45LTXMHTCDHFUH \
  | 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: e4dcf224671e665e7573bb0f310ce5a1c84868d969fe4c1890605bd0e34ac3b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e86a7be970fa135d371659bd4a2b3a12931ff9b3a8189f1d1a3dba1f6a66162",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-12T16:54:25Z",
    "title_canon_sha256": "68611d96b997b89a9108f3b2d383707c1658724c42ef64a88d9a8eb59fdc8fe8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04248",
    "kind": "arxiv",
    "version": 2
  }
}