Pith Number

pith:5MXBQ5MR

pith:2008:5MXBQ5MRFTJ6GXDQXEGWBQ3AMB

not attested not anchored not stored refs pending

Infinitesimal affine geometry of metric spaces endowed with a dilatation structure

Marius Buliga

arxiv:0804.0135 v2 · 2008-04-01 · math.MG · 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{5MXBQ5MRFTJ6GXDQXEGWBQ3AMB}

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	2026-05-17T23:53:56.003426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb2e1875912cd3e35c70b90d60c3606054c450dd90aef6fcdf567cf8c984aad9

Aliases

arxiv: 0804.0135 · arxiv_version: 0804.0135v2 · doi: 10.48550/arxiv.0804.0135 · pith_short_12: 5MXBQ5MRFTJ6 · pith_short_16: 5MXBQ5MRFTJ6GXDQ · pith_short_8: 5MXBQ5MR

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/5MXBQ5MRFTJ6GXDQXEGWBQ3AMB \
  | 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: eb2e1875912cd3e35c70b90d60c3606054c450dd90aef6fcdf567cf8c984aad9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b42c27344301ab83bf64c64fbf3393a76a5e7ef39c39a785372df581626c241",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2008-04-01T10:58:47Z",
    "title_canon_sha256": "35b67a056c69d4da8b84b678a4103aad0a9fae82758f30f09b793c6e322d2e77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.0135",
    "kind": "arxiv",
    "version": 2
  }
}