Pith Number

pith:NTXUEVK6

pith:2011:NTXUEVK6LBZO2DDC7Q2M3YWFIB

not attested not anchored not stored refs pending

Randomly biased walks on subcritical trees

Alan Hammond, Gerard Ben Arous

arxiv:1101.4041 v1 · 2011-01-20 · 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{NTXUEVK6LBZO2DDC7Q2M3YWFIB}

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	2026-05-18T04:31:12.808209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cef42555e5872ed0c62fc34cde2c5405c3f7b09199821615d7ae2e030a89efe

Aliases

arxiv: 1101.4041 · arxiv_version: 1101.4041v1 · doi: 10.48550/arxiv.1101.4041 · pith_short_12: NTXUEVK6LBZO · pith_short_16: NTXUEVK6LBZO2DDC · pith_short_8: NTXUEVK6

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/NTXUEVK6LBZO2DDC7Q2M3YWFIB \
  | 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: 6cef42555e5872ed0c62fc34cde2c5405c3f7b09199821615d7ae2e030a89efe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "114f0898d737f704da6946a41082ae789d0e05407ab1099e3ee26f95aae4537d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-20T22:27:15Z",
    "title_canon_sha256": "db4f7ba7ff9267d09f779a25c6ff0e85888d429638c2e9b482a2d5bc435fff99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4041",
    "kind": "arxiv",
    "version": 1
  }
}