Pith Number

pith:PVULSWBM

pith:2006:PVULSWBMPFRPKJVFBKO7KKLNMK

not attested not anchored not stored refs pending

Invariance principles for spatial multitype Galton-Watson trees

Gr\'egory Marc Miermont (LM-Orsay)

arxiv:math/0610807 v1 · 2006-10-26 · 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{PVULSWBMPFRPKJVFBKO7KKLNMK}

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	2026-05-18T01:08:49.577365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d68b9582c7962f526a50a9df5296d62a70836ebb1624bb71082f5f546c812f0

Aliases

arxiv: math/0610807 · arxiv_version: math/0610807v1 · doi: 10.48550/arxiv.math/0610807 · pith_short_12: PVULSWBMPFRP · pith_short_16: PVULSWBMPFRPKJVF · pith_short_8: PVULSWBM

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/PVULSWBMPFRPKJVFBKO7KKLNMK \
  | 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: 7d68b9582c7962f526a50a9df5296d62a70836ebb1624bb71082f5f546c812f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c626601d52045b37d4c675aebfb8339af73838bc0bfec3e26e65aec0338716e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-10-26T18:51:12Z",
    "title_canon_sha256": "3540d728e69cd63f8b9d5b646b71d3ebefbd3a78d0b73e1f431acf6f03d5af73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610807",
    "kind": "arxiv",
    "version": 1
  }
}