Pith Number

pith:4YDHNAZR

pith:2008:4YDHNAZRGOO4SC2DFK4TWSOR7C

not attested not anchored not stored refs pending

Generalized (\kappa,\mu)-space forms

Alfonso Carriazo, Mukut Mani Tripathi, Ver\'onica Mart\'in-Molina

arxiv:0812.2605 v2 · 2008-12-14 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YDHNAZRGOO4SC2DFK4TWSOR7C}

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	2026-05-18T03:31:07.256333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e606768331339dc90b432ab93b49d1f89515731523a0fe8aa5a8d15281647a2a

Aliases

arxiv: 0812.2605 · arxiv_version: 0812.2605v2 · doi: 10.48550/arxiv.0812.2605 · pith_short_12: 4YDHNAZRGOO4 · pith_short_16: 4YDHNAZRGOO4SC2D · pith_short_8: 4YDHNAZR

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/4YDHNAZRGOO4SC2DFK4TWSOR7C \
  | 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: e606768331339dc90b432ab93b49d1f89515731523a0fe8aa5a8d15281647a2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58e37318b02a06f61f26f580a28fdb05609a72a477bc12b9145da5eed987f1ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-12-14T06:33:22Z",
    "title_canon_sha256": "9c2b1bd569b7180c99f20a45e7dcb5de6641e8bbd32e4cd6588bc28dd0d060ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2605",
    "kind": "arxiv",
    "version": 2
  }
}