Pith Number

pith:DUWITCEP

pith:2012:DUWITCEP4HMKASP7NPK44FVGGP

not attested not anchored not stored refs pending

The Speed of a Biased Walk on a Galton-Watson Tree without Leaves is Monotonic with Respect to Progeny Distributions for High Values of Bias

Behzad Mehrdad, Lingjiong Zhu, Sanchayan Sen

arxiv:1212.3004 v4 · 2012-12-12 · 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{DUWITCEP4HMKASP7NPK44FVGGP}

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	2026-05-18T01:52:39.237766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d2c89888fe1d8a049ff6bd5ce16a633ede37b7ff744e9e8e16ad703cede7ec2

Aliases

arxiv: 1212.3004 · arxiv_version: 1212.3004v4 · doi: 10.48550/arxiv.1212.3004 · pith_short_12: DUWITCEP4HMK · pith_short_16: DUWITCEP4HMKASP7 · pith_short_8: DUWITCEP

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/DUWITCEP4HMKASP7NPK44FVGGP \
  | 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: 1d2c89888fe1d8a049ff6bd5ce16a633ede37b7ff744e9e8e16ad703cede7ec2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "058c125352cc41f1d58c00642941b01b73c3f0a38c593a201d5321cd7b81c654",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-12T22:13:36Z",
    "title_canon_sha256": "0e914f6d73d2917737dd042028971b393c62fb543791e5224ddbf44c843cfe22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3004",
    "kind": "arxiv",
    "version": 4
  }
}