Pith Number

pith:IYPHZB35

pith:2012:IYPHZB35FOGV4XQNP7OQVAUVTK

not attested not anchored not stored refs pending

Finite Morphisms to Projective Space and Capacity Theory

Georgios Pappas, Laurent Moret-Bailly, Martin Taylor, Ted Chinburg

arxiv:1201.0678 v2 · 2012-01-03 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IYPHZB35FOGV4XQNP7OQVAUVTK}

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	2026-05-18T03:43:18.486013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

461e7c877d2b8d5e5e0d7fdd0a82959ab66ed4f29890e5b14f402c4a0199a79b

Aliases

arxiv: 1201.0678 · arxiv_version: 1201.0678v2 · doi: 10.48550/arxiv.1201.0678 · pith_short_12: IYPHZB35FOGV · pith_short_16: IYPHZB35FOGV4XQN · pith_short_8: IYPHZB35

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/IYPHZB35FOGV4XQNP7OQVAUVTK \
  | 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: 461e7c877d2b8d5e5e0d7fdd0a82959ab66ed4f29890e5b14f402c4a0199a79b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac03fdbd2cb0248fc55eacf4273ef8cdf49bafeb180e5e17378b9999c11f9b28",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-03T15:58:42Z",
    "title_canon_sha256": "e0eb253e2879a2a59f7cd70ca013fee297e4566f0120b61914c64f76f3db7189"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0678",
    "kind": "arxiv",
    "version": 2
  }
}