Pith Number

pith:EQCYZ2ZH

pith:2025:EQCYZ2ZHJM6TZBRKQ3GUEP3U4P

not attested not anchored not stored refs pending

Density of integral points in the Betti moduli of quasi-projective varieties

Daniel Litt, Simone Coccia

arxiv:2507.00167 v1 · 2025-06-30 · math.AG · math.GT · 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{EQCYZ2ZHJM6TZBRKQ3GUEP3U4P}

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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

Murphy's law in non-abelian Hodge theory

Receipt and verification

First computed	2026-07-05T11:29:38.437841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24058ceb274b3d3c862a86cd423f74e3f3546998945e1ab981517dcf4ac2d3ed

Aliases

arxiv: 2507.00167 · arxiv_version: 2507.00167v1 · doi: 10.48550/arxiv.2507.00167 · pith_short_12: EQCYZ2ZHJM6T · pith_short_16: EQCYZ2ZHJM6TZBRK · pith_short_8: EQCYZ2ZH

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/EQCYZ2ZHJM6TZBRKQ3GUEP3U4P \
  | 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: 24058ceb274b3d3c862a86cd423f74e3f3546998945e1ab981517dcf4ac2d3ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ccd460d0cf841477b395a960d217197567e5ef59aa39a8b010ae7dd3a43a64c",
    "cross_cats_sorted": [
      "math.GT",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-30T18:16:20Z",
    "title_canon_sha256": "130f772373106ee61fa3bf86fa52c5def3040a711c6f9a8de0345b41a8040976"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.00167",
    "kind": "arxiv",
    "version": 1
  }
}