Pith Number

pith:V4GQ4AUY

pith:2024:V4GQ4AUY3CVDFPCDY2DLGQ4AQP

not attested not anchored not stored refs pending

On the Rigidity of Random Graphs in high-dimensional spaces

Niv Peleg, Yuval Peled

arxiv:2412.13127 v1 · 2024-12-17 · 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{V4GQ4AUY3CVDFPCDY2DLGQ4AQP}

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 the $d$-rigidity phase transition in random graphs

Receipt and verification

First computed	2026-07-05T09:50:40.871332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af0d0e0298d8aa32bc43c686b3438083e2f3cda49f706be05e921e273ed8be51

Aliases

arxiv: 2412.13127 · arxiv_version: 2412.13127v1 · doi: 10.48550/arxiv.2412.13127 · pith_short_12: V4GQ4AUY3CVD · pith_short_16: V4GQ4AUY3CVDFPCD · pith_short_8: V4GQ4AUY

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/V4GQ4AUY3CVDFPCDY2DLGQ4AQP \
  | 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: af0d0e0298d8aa32bc43c686b3438083e2f3cda49f706be05e921e273ed8be51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d1f0ca224f6b9afdca6b3b3580cfc4e1b237f87f7997bac09aaa2016edf203c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-17T17:45:23Z",
    "title_canon_sha256": "3f84e85193c014b8e15ca8cb1769c99ba3570c4dba6c345770066504c5aaddee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13127",
    "kind": "arxiv",
    "version": 1
  }
}