Pith Number

pith:BAGOBL3L

pith:2006:BAGOBL3LJTIDHVXFNACUXZTQKX

not attested not anchored not stored refs pending

A metric approach to Fr\'echet geometry

Olaf M\"uller

arxiv:math/0612379 v4 · 2006-12-14 · 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{BAGOBL3LJTIDHVXFNACUXZTQKX}

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	2026-05-18T04:08:53.059618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

080ce0af6b4cd033d6e568054be67055c65260ea31aa27f503f3eb80a65ce0ab

Aliases

arxiv: math/0612379 · arxiv_version: math/0612379v4 · doi: 10.48550/arxiv.math/0612379 · pith_short_12: BAGOBL3LJTID · pith_short_16: BAGOBL3LJTIDHVXF · pith_short_8: BAGOBL3L

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/BAGOBL3LJTIDHVXFNACUXZTQKX \
  | 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: 080ce0af6b4cd033d6e568054be67055c65260ea31aa27f503f3eb80a65ce0ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4f35d12dc70de19a2ccadbaafa76d562a5965a35fe43911610c7f75b2b2276f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-12-14T20:33:07Z",
    "title_canon_sha256": "8b40eba080c9af2a3314d3e7452741e1403a34a5f3c0661b0a469e0d9d67f42c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612379",
    "kind": "arxiv",
    "version": 4
  }
}