Pith Number

pith:GVIT3D56

pith:2012:GVIT3D56BMH7R4QVO755LGF427

not attested not anchored not stored refs pending

Benjamini--Schramm continuity of root moments of graph polynomials

P\'eter Csikv\'ari, P\'eter E. Frenkel

arxiv:1204.0463 v2 · 2012-04-02 · 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{GVIT3D56BMH7R4QVO755LGF427}

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	2026-05-18T01:24:44.142022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35513d8fbe0b0ff8f21577fbd598bcd7df5793ea034052b92d514bed8b8c1442

Aliases

arxiv: 1204.0463 · arxiv_version: 1204.0463v2 · doi: 10.48550/arxiv.1204.0463 · pith_short_12: GVIT3D56BMH7 · pith_short_16: GVIT3D56BMH7R4QV · pith_short_8: GVIT3D56

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/GVIT3D56BMH7R4QVO755LGF427 \
  | 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: 35513d8fbe0b0ff8f21577fbd598bcd7df5793ea034052b92d514bed8b8c1442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc760a80d7d0708db45d0b5c57686a59532fea602d39a5ffb417ac4770254bff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-02T16:38:15Z",
    "title_canon_sha256": "af2c873ba1383adda4b3dad4d658fd20839f2247bf9ff4403f6b29ebb81bb6f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0463",
    "kind": "arxiv",
    "version": 2
  }
}