Pith Number

pith:PGZKQYZG

pith:2011:PGZKQYZGE4IQKZNRGUNRIKTW2H

not attested not anchored not stored refs pending

On some fibrations of $\overline{M}_{0,n}$

Andrea Bruno, Massimiliano Mella

arxiv:1105.3293 v1 · 2011-05-17 · 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{PGZKQYZGE4IQKZNRGUNRIKTW2H}

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	2026-05-18T04:22:00.258239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79b2a8632627110565b1351b142a76d1ce30e6ba61d5e5bbf80e0c14b83cab1e

Aliases

arxiv: 1105.3293 · arxiv_version: 1105.3293v1 · doi: 10.48550/arxiv.1105.3293 · pith_short_12: PGZKQYZGE4IQ · pith_short_16: PGZKQYZGE4IQKZNR · pith_short_8: PGZKQYZG

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/PGZKQYZGE4IQKZNRGUNRIKTW2H \
  | 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: 79b2a8632627110565b1351b142a76d1ce30e6ba61d5e5bbf80e0c14b83cab1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "958ba304f720e21ad9c1e94228e6d6c363c22d2702e8cac6784ae5405a31843a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-17T07:49:16Z",
    "title_canon_sha256": "250a32b1905c098708b3ec23a7ce51ed24e1afd10aeee810ee18e8c156d8d37c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3293",
    "kind": "arxiv",
    "version": 1
  }
}