Pith Number

pith:DILITEI3

pith:2019:DILITEI3FRSOT2FKCWKHTXBF5U

not attested not anchored not stored refs pending

On breadth-first constructions of scaling limits of random graphs and random unicellular maps

Gr\'egory Miermont, Sanchayan Sen

arxiv:1908.04403 v3 · 2019-08-12 · math.PR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DILITEI3FRSOT2FKCWKHTXBF5U}

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	2026-07-05T03:31:51.450217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a1689911b2c64e9e8aa159479dc25ed011e0f21bf178d316cd4718bf8e56f59

Aliases

arxiv: 1908.04403 · arxiv_version: 1908.04403v3 · doi: 10.48550/arxiv.1908.04403 · pith_short_12: DILITEI3FRSO · pith_short_16: DILITEI3FRSOT2FK · pith_short_8: DILITEI3

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/DILITEI3FRSOT2FKCWKHTXBF5U \
  | 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: 1a1689911b2c64e9e8aa159479dc25ed011e0f21bf178d316cd4718bf8e56f59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9938b68703c1f317973a1b2c6b5499b735032b10cb7bc2757c0fc8db930844b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-12T21:38:07Z",
    "title_canon_sha256": "3f0ca6d3e1e445cc654148f470da11517339af8ead549f5939e4ee28161b798b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04403",
    "kind": "arxiv",
    "version": 3
  }
}