Pith Number

pith:AG6KRGML

pith:2015:AG6KRGMLEB4RCVVFJP6H4XZIFZ

not attested not anchored not stored refs pending

Optimal bounds for self-intersection local times

George Deligiannidis, Sergey Utev

arxiv:1505.07956 v2 · 2015-05-29 · 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{AG6KRGMLEB4RCVVFJP6H4XZIFZ}

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	2026-05-18T01:58:26.592680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01bca8998b20791156a54bfc7e5f282e6fb58fe4232d5e2a97e003905d511030

Aliases

arxiv: 1505.07956 · arxiv_version: 1505.07956v2 · doi: 10.48550/arxiv.1505.07956 · pith_short_12: AG6KRGMLEB4R · pith_short_16: AG6KRGMLEB4RCVVF · pith_short_8: AG6KRGML

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/AG6KRGMLEB4RCVVFJP6H4XZIFZ \
  | 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: 01bca8998b20791156a54bfc7e5f282e6fb58fe4232d5e2a97e003905d511030

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "649f9a90b4be5f2d8564651a823261fc37c924428255dd0e63c46dfe0ddb5b89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-29T08:17:01Z",
    "title_canon_sha256": "a6979a0b06d07b274b89b78c70a650ad1773cd3ea7fc56251b28fb61ffe2144e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07956",
    "kind": "arxiv",
    "version": 2
  }
}