Pith Number

pith:H5K272Q6

pith:2004:H5K272Q67KTTR5FLO7SXQZ3RUA

not attested not anchored not stored refs pending

Continuous Time Markov Processes on Graphs

Jianjun Tian, Xiao-Song Lin

arxiv:math/0410298 v1 · 2004-10-12 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H5K272Q67KTTR5FLO7SXQZ3RUA}

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	2026-07-04T14:39:10.120835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f55afea1efaa738f4ab77e5786771a006ae202288cb7781526e52ae25ac4fdd

Aliases

arxiv: math/0410298 · arxiv_version: math/0410298v1 · doi: 10.48550/arxiv.math/0410298 · pith_short_12: H5K272Q67KTT · pith_short_16: H5K272Q67KTTR5FL · pith_short_8: H5K272Q6

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/H5K272Q67KTTR5FLO7SXQZ3RUA \
  | 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: 3f55afea1efaa738f4ab77e5786771a006ae202288cb7781526e52ae25ac4fdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9f4fa1baac89ca929d65fcba223605f82975e915c382163143559e9ad2fec60",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-10-12T21:05:40Z",
    "title_canon_sha256": "989b231d15f4076ac66a13c5367945ac30dd684d1dec9644e982edb2877db4cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410298",
    "kind": "arxiv",
    "version": 1
  }
}