Pith Number

pith:45C3SHJT

pith:2012:45C3SHJTAWJP3Q6R35LIRGDTTH

not attested not anchored not stored refs pending

A categorical approach to loops, neardomains and nearfields

Philippe Cara, Rudger Kieboom, Tina Vervloet

arxiv:1207.3600 v1 · 2012-07-16 · math.CT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45C3SHJTAWJP3Q6R35LIRGDTTH}

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	2026-05-18T03:16:17.303860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e745b91d330592fdc3d1df5688987399ff4852a8536ef37f2a5cb96e12ad27aa

Aliases

arxiv: 1207.3600 · arxiv_version: 1207.3600v1 · doi: 10.48550/arxiv.1207.3600 · pith_short_12: 45C3SHJTAWJP · pith_short_16: 45C3SHJTAWJP3Q6R · pith_short_8: 45C3SHJT

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/45C3SHJTAWJP3Q6R35LIRGDTTH \
  | 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: e745b91d330592fdc3d1df5688987399ff4852a8536ef37f2a5cb96e12ad27aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ca30f1e75ee90b42de7843f9de80cda804aec674996c439874707a080df9567",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-07-16T08:34:48Z",
    "title_canon_sha256": "f08a33734bbe8406be010901ca84f666a7ad75dbf803ce9f75047cee97d5db4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3600",
    "kind": "arxiv",
    "version": 1
  }
}