Pith Number

pith:DJUIIMTZ

pith:2018:DJUIIMTZF53SGGPIF3BEEMKWSC

not attested not anchored not stored refs pending

Fluctuations of Biggins' martingales at complex parameters

Alexander Iksanov, Konrad Kolesko, Matthias Meiners

arxiv:1806.09943 v2 · 2018-06-26 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJUIIMTZF53SGGPIF3BEEMKWSC}

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	2026-05-18T00:07:58.151677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a688432792f772319e82ec24231569088d1bd032b05151a76caf041c28c8cec

Aliases

arxiv: 1806.09943 · arxiv_version: 1806.09943v2 · doi: 10.48550/arxiv.1806.09943 · pith_short_12: DJUIIMTZF53S · pith_short_16: DJUIIMTZF53SGGPI · pith_short_8: DJUIIMTZ

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/DJUIIMTZF53SGGPIF3BEEMKWSC \
  | 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: 1a688432792f772319e82ec24231569088d1bd032b05151a76caf041c28c8cec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "076b885a411862091c9a6585e28d3ba4c77df766d2a0acfe2448433e99b4a28f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-26T12:38:48Z",
    "title_canon_sha256": "4ca11e63458febae471a92b3bc24dfb0d3d9bedfc5902ac2fbd9003ca0b1f11d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09943",
    "kind": "arxiv",
    "version": 2
  }
}