Pith Number

pith:Q2TUNBUJ

pith:2011:Q2TUNBUJJTUFYXZWDU2WYT77RP

not attested not anchored not stored refs pending

T. E. Harris and branching processes

K. B. Athreya, P. E. Ney

arxiv:1103.2011 v1 · 2011-03-10 · 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{Q2TUNBUJJTUFYXZWDU2WYT77RP}

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.

Cited by

1 paper in Pith

On estimation of the effect lag of predictors and prediction in functional linear model

Receipt and verification

First computed	2026-05-18T04:27:03.163926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86a74686894ce85c5f361d356c4fff8beca75049392ed79c5dbd6c804149b0bd

Aliases

arxiv: 1103.2011 · arxiv_version: 1103.2011v1 · doi: 10.48550/arxiv.1103.2011 · pith_short_12: Q2TUNBUJJTUF · pith_short_16: Q2TUNBUJJTUFYXZW · pith_short_8: Q2TUNBUJ

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/Q2TUNBUJJTUFYXZWDU2WYT77RP \
  | 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: 86a74686894ce85c5f361d356c4fff8beca75049392ed79c5dbd6c804149b0bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c45d10a3ab75866f4c9d8786db77abbee5356beb369266c50cd5b9f888c0500",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-10T12:34:52Z",
    "title_canon_sha256": "3bb5621a85f86d4ad1fca5a8a3cd819c86ba83cb3da09ddc748bab98a046c0e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2011",
    "kind": "arxiv",
    "version": 1
  }
}