Pith Number

pith:P6UDA42U

pith:2011:P6UDA42UDSYPCWAAOQLF3KR2XA

not attested not anchored not stored refs pending

Continuum Limits of Markov Chains with Application to Network Modeling

Donald Estep, Edwin K. P. Chong, Jan Hannig, Yang Zhang

arxiv:1106.4288 v1 · 2011-06-21 · cs.NI · cs.IT · math.AP · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P6UDA42UDSYPCWAAOQLF3KR2XA}

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	2026-05-18T04:19:33.769384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fa83073541cb0f1580074165daa3ab82edf568a6c1c7ae6d1bed06d1622cf2e

Aliases

arxiv: 1106.4288 · arxiv_version: 1106.4288v1 · doi: 10.48550/arxiv.1106.4288 · pith_short_12: P6UDA42UDSYP · pith_short_16: P6UDA42UDSYPCWAA · pith_short_8: P6UDA42U

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/P6UDA42UDSYPCWAAOQLF3KR2XA \
  | 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: 7fa83073541cb0f1580074165daa3ab82edf568a6c1c7ae6d1bed06d1622cf2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84ecd800e2e4a738187b47b6dce36426c8c4817afae6b76fcbe39390c1f91987",
    "cross_cats_sorted": [
      "cs.IT",
      "math.AP",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2011-06-21T18:34:38Z",
    "title_canon_sha256": "57b5a9daf8a002073fce137aad07b493d751afc061df674488ced5b8ca3fdfd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4288",
    "kind": "arxiv",
    "version": 1
  }
}