Pith Number

pith:IRQLIG3S

pith:2011:IRQLIG3S6QCS5R2C4WHBFDDKHV

not attested not anchored not stored refs pending

Affine and convex spaces: blending the analytic and geometric viewpoints

PierGianLuca Porta Mana

arxiv:1104.0032 v2 · 2011-03-31 · physics.class-ph · math.HO · physics.gen-ph · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IRQLIG3S6QCS5R2C4WHBFDDKHV}

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	2026-05-17T23:54:27.487008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4460b41b72f4052ec742e58e128c6a3d40644de8895f99ef853f1de37a3aa8ea

Aliases

arxiv: 1104.0032 · arxiv_version: 1104.0032v2 · doi: 10.48550/arxiv.1104.0032 · pith_short_12: IRQLIG3S6QCS · pith_short_16: IRQLIG3S6QCS5R2C · pith_short_8: IRQLIG3S

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/IRQLIG3S6QCS5R2C4WHBFDDKHV \
  | 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: 4460b41b72f4052ec742e58e128c6a3d40644de8895f99ef853f1de37a3aa8ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5652dda95fb9afd3f56e63f7683c33754a53183414668bc06985c4922a82cb3",
    "cross_cats_sorted": [
      "math.HO",
      "physics.gen-ph",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2011-03-31T21:09:41Z",
    "title_canon_sha256": "a087bf62b5d3bb9a4669f8ee8a968901dbd8f90a3d6f0e4df0681c5001bd544b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0032",
    "kind": "arxiv",
    "version": 2
  }
}