Pith Number

pith:YFDQEKYH

pith:2009:YFDQEKYH77JHJTSLHFSWKHUEX3

not attested not anchored not stored refs pending

Finitely Presented Exponential Fields

Jonathan Kirby

arxiv:0912.4019 v4 · 2009-12-20 · math.LO · 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{YFDQEKYH77JHJTSLHFSWKHUEX3}

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	2026-05-18T02:39:24.527026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c147022b07ffd274ce4b3965651e84beec174426a278edcc01ceabb4ed3bd5cd

Aliases

arxiv: 0912.4019 · arxiv_version: 0912.4019v4 · doi: 10.48550/arxiv.0912.4019 · pith_short_12: YFDQEKYH77JH · pith_short_16: YFDQEKYH77JHJTSL · pith_short_8: YFDQEKYH

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/YFDQEKYH77JHJTSLHFSWKHUEX3 \
  | 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: c147022b07ffd274ce4b3965651e84beec174426a278edcc01ceabb4ed3bd5cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1b336add704cbaa4761ed117f642bb30fa8bbff299c7676286dc4e622216330",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2009-12-20T14:56:35Z",
    "title_canon_sha256": "4d58b73d3522e9fad422b665e58d215451fab2f75dd930b91330e9cce53364c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4019",
    "kind": "arxiv",
    "version": 4
  }
}