Pith Number

pith:K36ONKAI

pith:2005:K36ONKAIKK7Z6XOT4N3PWDT5YX

not attested not anchored not stored refs pending

Flows and joins of metric spaces

Igor Mineyev

arxiv:math/0503274 v1 · 2005-03-14 · math.MG · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K36ONKAIKK7Z6XOT4N3PWDT5YX}

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	2026-05-18T02:37:59.792401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56fce6a80852bf9f5dd3e376fb0e7dc5e09ab07dfbbe19a4742057584c044716

Aliases

arxiv: math/0503274 · arxiv_version: math/0503274v1 · doi: 10.48550/arxiv.math/0503274 · pith_short_12: K36ONKAIKK7Z · pith_short_16: K36ONKAIKK7Z6XOT · pith_short_8: K36ONKAI

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/K36ONKAIKK7Z6XOT4N3PWDT5YX \
  | 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: 56fce6a80852bf9f5dd3e376fb0e7dc5e09ab07dfbbe19a4742057584c044716

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "512a04775fa3465705ba5a53f9798c40e61c8656e45012f95a7b28fb77818c10",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2005-03-14T21:21:00Z",
    "title_canon_sha256": "2d38bc52f10adec66ce4e7bcb24b18f7761c3d8fc3df525fc910d6adc51dbc7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503274",
    "kind": "arxiv",
    "version": 1
  }
}