Pith Number

pith:IMK4KKA5

pith:2003:IMK4KKA5ZPGDTXPAYH4BSZHXBC

not attested not anchored not stored refs pending

Finite dimensional objects in distinguished triangles

Vladimir Guletskii

arxiv:math/0306297 v1 · 2003-06-19 · math.KT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IMK4KKA5ZPGDTXPAYH4BSZHXBC}

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	2026-05-18T02:18:41.406041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4315c5281dcbcc39dde0c1f81964f7089658b245301760d25748d7f1910b3191

Aliases

arxiv: math/0306297 · arxiv_version: math/0306297v1 · doi: 10.48550/arxiv.math/0306297 · pith_short_12: IMK4KKA5ZPGD · pith_short_16: IMK4KKA5ZPGDTXPA · pith_short_8: IMK4KKA5

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/IMK4KKA5ZPGDTXPAYH4BSZHXBC \
  | 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: 4315c5281dcbcc39dde0c1f81964f7089658b245301760d25748d7f1910b3191

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d66a4d6135d4fdf400e975c615a6b2deb582c1bf50e6d3b3a713cab9add6bee6",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2003-06-19T20:51:59Z",
    "title_canon_sha256": "de8c33de1b9f51a2322fe491c4c548dd624b1f4c2bfa78bbd98d59938763caf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0306297",
    "kind": "arxiv",
    "version": 1
  }
}