Pith Number

pith:VHB2A4KF

pith:2017:VHB2A4KF2GY2PVKNP3NBKD7UDK

not attested not anchored not stored refs pending

Horospherical stacks

Ariyan Javanpeykar, Kevin Langlois, Ronan Terpereau

arxiv:1703.00488 v3 · 2017-03-01 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHB2A4KF2GY2PVKNP3NBKD7UDK}

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	2026-05-17T23:51:06.334658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9c3a07145d1b1a7d54d7eda150ff41a8a79e2a032542bdfb03ca318cda1a827

Aliases

arxiv: 1703.00488 · arxiv_version: 1703.00488v3 · doi: 10.48550/arxiv.1703.00488 · pith_short_12: VHB2A4KF2GY2 · pith_short_16: VHB2A4KF2GY2PVKN · pith_short_8: VHB2A4KF

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/VHB2A4KF2GY2PVKNP3NBKD7UDK \
  | 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: a9c3a07145d1b1a7d54d7eda150ff41a8a79e2a032542bdfb03ca318cda1a827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5c7fa62f213c55f271963da35eb612b39ebaeeae3dc87fb4edafdf4a666c2fa",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-03-01T20:46:08Z",
    "title_canon_sha256": "d68ddca2b9b4c241d84f09eb52dcbe982a1ff182b93a298a2c1afbac586cab29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00488",
    "kind": "arxiv",
    "version": 3
  }
}