Pith Number

pith:MK327OLF

pith:2011:MK327OLFZCIZ5AEJCT7HXWJTP4

not attested not anchored not stored refs pending

Mean-field behavior of the negative-weight percolation model on random regular graphs

A.K. Hartmann, M. Mezard, O. Melchert

arxiv:1107.1742 v1 · 2011-07-08 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MK327OLFZCIZ5AEJCT7HXWJTP4}

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	2026-05-18T02:01:21.043757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62b7afb965c8919e808914fe7bd9337f0160a1e7c84e68075e5b9f84054c477e

Aliases

arxiv: 1107.1742 · arxiv_version: 1107.1742v1 · doi: 10.48550/arxiv.1107.1742 · pith_short_12: MK327OLFZCIZ · pith_short_16: MK327OLFZCIZ5AEJ · pith_short_8: MK327OLF

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/MK327OLFZCIZ5AEJCT7HXWJTP4 \
  | 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: 62b7afb965c8919e808914fe7bd9337f0160a1e7c84e68075e5b9f84054c477e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c556c554f35f0d00234be23a77771fd7b610b5783d91c363eb9c784ceeebe0ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2011-07-08T22:02:00Z",
    "title_canon_sha256": "93df26f49c2019aa12f10db21e24afe2687a939799b2a57247dd141d6544a07b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1742",
    "kind": "arxiv",
    "version": 1
  }
}