Pith Number

pith:II6HCKLO

pith:2015:II6HCKLO6CMHVB2ROQRCKHBSQB

not attested not anchored not stored refs pending

A "bottom up" characterization of smooth Deligne-Mumford stacks

Anton Geraschenko, Matthew Satriano

arxiv:1503.05478 v1 · 2015-03-18 · 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{II6HCKLO6CMHVB2ROQRCKHBSQB}

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	2026-05-18T02:21:26.328934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

423c71296ef0987a87517422251c32807ba003672a688140fecf6c79f0d15d1c

Aliases

arxiv: 1503.05478 · arxiv_version: 1503.05478v1 · doi: 10.48550/arxiv.1503.05478 · pith_short_12: II6HCKLO6CMH · pith_short_16: II6HCKLO6CMHVB2R · pith_short_8: II6HCKLO

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/II6HCKLO6CMHVB2ROQRCKHBSQB \
  | 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: 423c71296ef0987a87517422251c32807ba003672a688140fecf6c79f0d15d1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df153cbe7c2d3a4fdde40467220c6f52675536277a61f2040d21367a3d5b730f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-03-18T16:44:34Z",
    "title_canon_sha256": "9bf2b8cc5b65d8f865cff00bba110b241f9d5e2aa08867496b79bb7925f1af35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05478",
    "kind": "arxiv",
    "version": 1
  }
}