Pith Number

pith:N6WE4DSA

pith:2011:N6WE4DSAPSSEOE4TAPWPPIYLOF

not attested not anchored not stored refs pending

Toric Stacks I: The Theory of Stacky Fans

Anton Geraschenko, Matthew Satriano

arxiv:1107.1906 v4 · 2011-07-10 · 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{N6WE4DSAPSSEOE4TAPWPPIYLOF}

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	2026-05-18T02:31:02.644841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fac4e0e407ca447139303ecf7a30b716732c9c4c45eba0428ad45e56e4a9947

Aliases

arxiv: 1107.1906 · arxiv_version: 1107.1906v4 · doi: 10.48550/arxiv.1107.1906 · pith_short_12: N6WE4DSAPSSE · pith_short_16: N6WE4DSAPSSEOE4T · pith_short_8: N6WE4DSA

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/N6WE4DSAPSSEOE4TAPWPPIYLOF \
  | 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: 6fac4e0e407ca447139303ecf7a30b716732c9c4c45eba0428ad45e56e4a9947

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "853dd3d1c10e8e008ab0331d3bc0e072bbbe6baa4774f71c7769cfb28f7366cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-10T22:20:24Z",
    "title_canon_sha256": "597c7a5cf45f8eba85ba464b25b54d15116f31accfc84547b6e06d06314b58a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1906",
    "kind": "arxiv",
    "version": 4
  }
}