Pith Number

pith:KAJQAYP5

pith:2013:KAJQAYP55XKUJOHYGU2NVX752N

not attested not anchored not stored refs pending

On discrete projective transformation groups of Riemannian manifolds

Abdelghani Zeghib (UMPA-ENSL)

arxiv:1304.6812 v2 · 2013-04-25 · math.DG · 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{KAJQAYP55XKUJOHYGU2NVX752N}

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	2026-05-18T00:55:34.656266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50130061fdedd544b8f83534dadffdd374d8fce796615dc6eb1f99eece3447c5

Aliases

arxiv: 1304.6812 · arxiv_version: 1304.6812v2 · doi: 10.48550/arxiv.1304.6812 · pith_short_12: KAJQAYP55XKU · pith_short_16: KAJQAYP55XKUJOHY · pith_short_8: KAJQAYP5

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/KAJQAYP55XKUJOHYGU2NVX752N \
  | 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: 50130061fdedd544b8f83534dadffdd374d8fce796615dc6eb1f99eece3447c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d65340cd8c0ef65c34d2355f3185b5f8e7d27c35cb01a0796f1a6795ee18b47",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-04-25T06:16:04Z",
    "title_canon_sha256": "7ca4414d9b2c57b68124aed66d59dd8f3dba6d8247c69c7b970fd0502c811715"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6812",
    "kind": "arxiv",
    "version": 2
  }
}