Pith Number

pith:6A72XG3B

pith:2006:6A72XG3BSJKPWM327SLXKI3ILS

not attested not anchored not stored refs pending

Fundamental groups of moduli stacks of stable curves of compact type

Marco Boggi

arxiv:math/0604271 v2 · 2006-04-12 · 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{6A72XG3BSJKPWM327SLXKI3ILS}

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	2026-05-18T02:37:59.625085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f03fab9b619254fb337afc977523685cbbb6a3119155d5496fac76a0cdcb5f23

Aliases

arxiv: math/0604271 · arxiv_version: math/0604271v2 · doi: 10.48550/arxiv.math/0604271 · pith_short_12: 6A72XG3BSJKP · pith_short_16: 6A72XG3BSJKPWM32 · pith_short_8: 6A72XG3B

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/6A72XG3BSJKPWM327SLXKI3ILS \
  | 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: f03fab9b619254fb337afc977523685cbbb6a3119155d5496fac76a0cdcb5f23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5916d986e147a7af06dc66713abf4ab8ea7e8d7778a1458725e4990d55497264",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-04-12T12:33:49Z",
    "title_canon_sha256": "dea0ecc40c485381f145ecc4321e99d9fb3e07bfc07b93f2ab5f804151adbeba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604271",
    "kind": "arxiv",
    "version": 2
  }
}