Pith Number

pith:2B6DUEXC

pith:2004:2B6DUEXC7JR2RX3GUIIRU6TP5X

not attested not anchored not stored refs pending

The affine stratification number and the moduli space of curves

Mike Roth, Ravi Vakil

arxiv:math/0406384 v1 · 2004-06-19 · 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{2B6DUEXC7JR2RX3GUIIRU6TP5X}

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	2026-07-04T14:38:43.891230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d07c3a12e2fa63a8df66a2111a7a6fedd5a3e44fac8fe99914bc08f9fe2f6ec2

Aliases

arxiv: math/0406384 · arxiv_version: math/0406384v1 · doi: 10.48550/arxiv.math/0406384 · pith_short_12: 2B6DUEXC7JR2 · pith_short_16: 2B6DUEXC7JR2RX3G · pith_short_8: 2B6DUEXC

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/2B6DUEXC7JR2RX3GUIIRU6TP5X \
  | 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: d07c3a12e2fa63a8df66a2111a7a6fedd5a3e44fac8fe99914bc08f9fe2f6ec2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fad163d1a394a212feb20c61d6d51c289059d6bff5307b34c70846968447934b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-06-19T01:15:24Z",
    "title_canon_sha256": "8d33c2592084c91cb25d9926c01198943188061e9299e292fc1bc97f0363128a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406384",
    "kind": "arxiv",
    "version": 1
  }
}