Pith Number

pith:TMSCGQBF

pith:2011:TMSCGQBFUR7AGDLJDRISTK7INZ

not attested not anchored not stored refs pending

On complex and symplectic toric stacks

Andreas Hochenegger, Frederik Witt

arxiv:1105.6280 v3 · 2011-05-31 · math.AG · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMSCGQBFUR7AGDLJDRISTK7INZ}

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	2026-05-18T00:26:02.732281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b24234025a47e030d691c5129abe86e4f3617f3fe55ac8155adaef644658018

Aliases

arxiv: 1105.6280 · arxiv_version: 1105.6280v3 · doi: 10.48550/arxiv.1105.6280 · pith_short_12: TMSCGQBFUR7A · pith_short_16: TMSCGQBFUR7AGDLJ · pith_short_8: TMSCGQBF

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/TMSCGQBFUR7AGDLJDRISTK7INZ \
  | 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: 9b24234025a47e030d691c5129abe86e4f3617f3fe55ac8155adaef644658018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4de38db94df34b8cf8e45a4980d55610b1060633a30bf77b145273b309d4e02c",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-31T13:52:02Z",
    "title_canon_sha256": "b8fedf25ec937629ec179055d04df89c74d040b1d8ea3ba340b99e0d0aa47b08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.6280",
    "kind": "arxiv",
    "version": 3
  }
}