Pith Number

pith:M3L4GX3I

pith:2013:M3L4GX3ITF3ZMMXJVF3DEZLH5H

not attested not anchored not stored refs pending

Pointwise upper estimates for transition probability of continuous time random walks on graphs

Xinxing Chen

arxiv:1310.2680 v2 · 2013-10-10 · 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{M3L4GX3ITF3ZMMXJVF3DEZLH5H}

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	2026-05-18T01:37:08.044488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66d7c35f6899779632e9a976326567e9c3f3cbb2c209fcdbcbac18e9569e739b

Aliases

arxiv: 1310.2680 · arxiv_version: 1310.2680v2 · doi: 10.48550/arxiv.1310.2680 · pith_short_12: M3L4GX3ITF3Z · pith_short_16: M3L4GX3ITF3ZMMXJ · pith_short_8: M3L4GX3I

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/M3L4GX3ITF3ZMMXJVF3DEZLH5H \
  | 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: 66d7c35f6899779632e9a976326567e9c3f3cbb2c209fcdbcbac18e9569e739b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f922080420a5152eaa4b8e5e68bdba46c19a1a574bfbe20c25185d88057c993f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-10T01:55:30Z",
    "title_canon_sha256": "91f0d730e2a96ed9445bfae21f024fe48de4625bfb8468fcffdf6588310b81e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2680",
    "kind": "arxiv",
    "version": 2
  }
}