Pith Number

pith:7N425RAP

pith:2004:7N425RAPCOX6NHXOFFZZEHW46T

not attested not anchored not stored refs pending

p-variation of strong Markov processes

Martynas Manstavicius

arxiv:math/0410106 v1 · 2004-10-05 · 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{7N425RAPCOX6NHXOFFZZEHW46T}

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	2026-05-18T01:05:25.900673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb79aec40f13afe69eee2973921edcf4cff05156ec50969574317e4fe694ce4a

Aliases

arxiv: math/0410106 · arxiv_version: math/0410106v1 · doi: 10.48550/arxiv.math/0410106 · pith_short_12: 7N425RAPCOX6 · pith_short_16: 7N425RAPCOX6NHXO · pith_short_8: 7N425RAP

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/7N425RAPCOX6NHXOFFZZEHW46T \
  | 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: fb79aec40f13afe69eee2973921edcf4cff05156ec50969574317e4fe694ce4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15a5d63947c007c79c6b371f603921ace23a05e298c0f7738d4c0e27248de5c1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-10-05T17:10:12Z",
    "title_canon_sha256": "f067583c3a74a2bc9705d5cfafb40542cbd5796ad3c8ed03d3c1405aa13c7998"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410106",
    "kind": "arxiv",
    "version": 1
  }
}