Pith Number

pith:DNB55MEG

pith:2006:DNB55MEGPTBG2Z3IYDPMDYK3ZV

not attested not anchored not stored refs pending

Resurgence of the Kontsevich-Zagier power series

Ovidiu Costin, Stavros Garoufalidis

arxiv:math/0609619 v4 · 2006-09-21 · 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{DNB55MEGPTBG2Z3IYDPMDYK3ZV}

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	2026-05-18T04:42:24.012311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b43deb0867cc26d6768c0dec1e15bcd431e0c89fe7cc304077c639c556ea6b2

Aliases

arxiv: math/0609619 · arxiv_version: math/0609619v4 · doi: 10.48550/arxiv.math/0609619 · pith_short_12: DNB55MEGPTBG · pith_short_16: DNB55MEGPTBG2Z3I · pith_short_8: DNB55MEG

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/DNB55MEGPTBG2Z3IYDPMDYK3ZV \
  | 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: 1b43deb0867cc26d6768c0dec1e15bcd431e0c89fe7cc304077c639c556ea6b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caa9a550ce70e0c8b1cace0ae1d393472c25670fb12b93b82d1bdef8a8f2e472",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2006-09-21T18:27:34Z",
    "title_canon_sha256": "2dfb2e349fd43f23acbe4c45c32909552e90cc7ea617c12f168adeb78b729fd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609619",
    "kind": "arxiv",
    "version": 4
  }
}