Pith Number

pith:JIJO4PMS

pith:2024:JIJO4PMSOOL7QM2L3UWHRJRWUQ

not attested not anchored not stored refs pending

On The Telescopic Picard Group

Shai Keidar

arxiv:2412.07716 v3 · 2024-12-10 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JIJO4PMSOOL7QM2L3UWHRJRWUQ}

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	2026-07-05T09:48:38.171440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a12ee3d927397f8334bdd2c78a636a430eb2b600e394ea1750a5242f93c3aef

Aliases

arxiv: 2412.07716 · arxiv_version: 2412.07716v3 · doi: 10.48550/arxiv.2412.07716 · pith_short_12: JIJO4PMSOOL7 · pith_short_16: JIJO4PMSOOL7QM2L · pith_short_8: JIJO4PMS

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/JIJO4PMSOOL7QM2L3UWHRJRWUQ \
  | 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: 4a12ee3d927397f8334bdd2c78a636a430eb2b600e394ea1750a5242f93c3aef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17dedefe4334d55eddc073a7dbfcec33f302dd38596df3a6a4b190792abcd5b0",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-12-10T18:09:27Z",
    "title_canon_sha256": "7b998f3e22223ca76bb66e89263c1f1c4267379a4e6cc0837da6e16d37edf414"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.07716",
    "kind": "arxiv",
    "version": 3
  }
}