Pith Number

pith:7HH7KJ7V

pith:2019:7HH7KJ7VNVFJX6OQG3X7KUA2CK

not attested not anchored not stored refs pending

The cohomology of the moduli space of curves at infinite level

Emanuel Reinecke

arxiv:1911.07392 v2 · 2019-11-18 · 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{7HH7KJ7VNVFJX6OQG3X7KUA2CK}

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

Vanishing of cohomology in infinitely ramified towers

Receipt and verification

First computed	2026-07-05T00:44:57.228240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9cff527f56d4a9bf9d036eff5501a1284f4c96d06bdeacbcf3c7f5d2f051efd

Aliases

arxiv: 1911.07392 · arxiv_version: 1911.07392v2 · doi: 10.48550/arxiv.1911.07392 · pith_short_12: 7HH7KJ7VNVFJ · pith_short_16: 7HH7KJ7VNVFJX6OQ · pith_short_8: 7HH7KJ7V

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/7HH7KJ7VNVFJX6OQG3X7KUA2CK \
  | 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: f9cff527f56d4a9bf9d036eff5501a1284f4c96d06bdeacbcf3c7f5d2f051efd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d03fc2d4b21c74639559c92eb0502c93aaf4ed07394b4a2e030d45e9666ece4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-11-18T01:16:29Z",
    "title_canon_sha256": "1500854cc9cfc46f0f84acdefaada6bd9eba69a63ea02af98522c896aa4dec1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.07392",
    "kind": "arxiv",
    "version": 2
  }
}