Pith Number

pith:O3GGP6I3

pith:2013:O3GGP6I3Q5YQ34RSSTIXVSOHOV

not attested not anchored not stored refs pending

The size of quadratic $p$-adic linearization disks

Karl-Olof Lindahl

arxiv:1311.4477 v1 · 2013-11-18 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O3GGP6I3Q5YQ34RSSTIXVSOHOV}

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	2026-05-18T03:06:52.538873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76cc67f91b87710df23294d17ac9c7756f6f86fe56b03633231e24f24c904521

Aliases

arxiv: 1311.4477 · arxiv_version: 1311.4477v1 · doi: 10.48550/arxiv.1311.4477 · pith_short_12: O3GGP6I3Q5YQ · pith_short_16: O3GGP6I3Q5YQ34RS · pith_short_8: O3GGP6I3

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/O3GGP6I3Q5YQ34RSSTIXVSOHOV \
  | 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: 76cc67f91b87710df23294d17ac9c7756f6f86fe56b03633231e24f24c904521

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ee31b0cb9e3388d4164356a31f15bb70575a6a2f7d878d0631588389a13a03a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-18T18:18:04Z",
    "title_canon_sha256": "4bfd737cd30f90981cb32a431e3c8c03953ae314f660887b9027dbb73ecb4d1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4477",
    "kind": "arxiv",
    "version": 1
  }
}