Pith Number

pith:VYRDWLC2

pith:2016:VYRDWLC2MAXYUDCYZPPB22Y4NB

not attested not anchored not stored refs pending

Global spectra, polytopes and stacky invariants

Antoine Douai

arxiv:1603.08693 v4 · 2016-03-29 · 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{VYRDWLC2MAXYUDCYZPPB22Y4NB}

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	2026-05-17T23:58:42.668164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae223b2c5a602f8a0c58cbde1d6b1c686dd59550e7780855a0e0c391e25153ec

Aliases

arxiv: 1603.08693 · arxiv_version: 1603.08693v4 · doi: 10.48550/arxiv.1603.08693 · pith_short_12: VYRDWLC2MAXY · pith_short_16: VYRDWLC2MAXYUDCY · pith_short_8: VYRDWLC2

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/VYRDWLC2MAXYUDCYZPPB22Y4NB \
  | 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: ae223b2c5a602f8a0c58cbde1d6b1c686dd59550e7780855a0e0c391e25153ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fc1f97a727e394eb2266af40dbbf5f80d1c9aa0a032cb7bb3d91603f5ec3a4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-29T09:30:43Z",
    "title_canon_sha256": "dcb06100ee026cfc8d9de6c8d3091889a6cc3367c7c37fc31f225e4ad1705a6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08693",
    "kind": "arxiv",
    "version": 4
  }
}