Pith Number

pith:DKAHNECU

pith:1995:DKAHNECUKMHMK52TRT74NP2XLC

not attested not anchored not stored refs pending

Infinitesimal presentations of the Torelli groups

Richard Hain

arxiv:alg-geom/9512001 v2 · 1995-12-01 · alg-geom · 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{DKAHNECUKMHMK52TRT74NP2XLC}

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

Calculating the second rational cohomology group of the Torelli group

Receipt and verification

First computed	2026-07-04T15:07:14.638867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a80769054530ec577538cffc6bf575896d5296743ca496ef3f3b07e1efda2df

Aliases

arxiv: alg-geom/9512001 · arxiv_version: alg-geom/9512001v2 · doi: 10.48550/arxiv.alg-geom/9512001 · pith_short_12: DKAHNECUKMHM · pith_short_16: DKAHNECUKMHMK52T · pith_short_8: DKAHNECU

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/DKAHNECUKMHMK52TRT74NP2XLC \
  | 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: 1a80769054530ec577538cffc6bf575896d5296743ca496ef3f3b07e1efda2df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83436eb8829fff9c01c7fbb29c7ae2c0cc9415a050ac5f284c454595262f3ec5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1995-12-01T21:49:54Z",
    "title_canon_sha256": "0615f8bb3672da9b36abd74399eb73d1199fe1901b6f28aa8187723c055f3490"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9512001",
    "kind": "arxiv",
    "version": 2
  }
}