Pith Number

pith:QMDI4VLN

pith:2012:QMDI4VLN4GSQH3RHJM3I7NT5OT

not attested not anchored not stored refs pending

Factoring in the hyperelliptic Torelli group

Dan Margalit, Tara E. Brendle

arxiv:1202.2365 v2 · 2012-02-10 · math.GT · 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{QMDI4VLN4GSQH3RHJM3I7NT5OT}

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	2026-05-18T01:35:57.722506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83068e556de1a503ee274b368fb67d74f7d4ae85e6693bc18473ab1ad5bbfca2

Aliases

arxiv: 1202.2365 · arxiv_version: 1202.2365v2 · doi: 10.48550/arxiv.1202.2365 · pith_short_12: QMDI4VLN4GSQ · pith_short_16: QMDI4VLN4GSQH3RH · pith_short_8: QMDI4VLN

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/QMDI4VLN4GSQH3RHJM3I7NT5OT \
  | 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: 83068e556de1a503ee274b368fb67d74f7d4ae85e6693bc18473ab1ad5bbfca2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f972818a65ee343f3af2958d80e8f5112b02ed61605483d260b5703fa327dee5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-02-10T21:00:15Z",
    "title_canon_sha256": "35ba0e2c93a6df2d2b5c6cd854db7149bdd3ffb21c3dcf1619445f1f59db332e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2365",
    "kind": "arxiv",
    "version": 2
  }
}