Pith Number

pith:6UEGYHJ3

pith:2014:6UEGYHJ3PRIHQKIGHGGEHFVZMC

not attested not anchored not stored refs pending

Scaling limits of random graph models at criticality: Universality and the basin of attraction of the Erd\H{o}s-R\'enyi random graph

Nicolas Broutin, Sanchayan Sen, Shankar Bhamidi, Xuan Wang

arxiv:1411.3417 v2 · 2014-11-13 · math.PR · math.CO

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6UEGYHJ3PRIHQKIGHGGEHFVZMC}

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

Receipt and verification

First computed	2026-07-05T02:48:31.015140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5086c1d3b7c50782906398c4396b960990288b4b0d28821a214bcb546a75d57

Aliases

arxiv: 1411.3417 · arxiv_version: 1411.3417v2 · doi: 10.48550/arxiv.1411.3417 · pith_short_12: 6UEGYHJ3PRIH · pith_short_16: 6UEGYHJ3PRIHQKIG · pith_short_8: 6UEGYHJ3

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/6UEGYHJ3PRIHQKIGHGGEHFVZMC \
  | 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: f5086c1d3b7c50782906398c4396b960990288b4b0d28821a214bcb546a75d57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a2ea35a3576d7da8db1ade8d0942b910f40e5bccb1572e0ca43b01e5392fa26",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-11-13T01:48:20Z",
    "title_canon_sha256": "bc78ce139da54e9d89a1392368c563513d964757c638aacf56c5bfba633c0b39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3417",
    "kind": "arxiv",
    "version": 2
  }
}