Pith Number

pith:6HFUQQF3

pith:2016:6HFUQQF3THGL6N5ZUVEZLPRKAY

not attested not anchored not stored refs pending

Asymptotic analysis of threshold models for social networks

Andrea Garulli, Antonio Giannitrapani

arxiv:1605.06322 v1 · 2016-05-20 · cs.SI · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6HFUQQF3THGL6N5ZUVEZLPRKAY}

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	2026-05-18T01:14:19.252360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1cb4840bb99ccbf37b9a54995be2a062a0af49747905c1f96e2e45b2785869d

Aliases

arxiv: 1605.06322 · arxiv_version: 1605.06322v1 · doi: 10.48550/arxiv.1605.06322 · pith_short_12: 6HFUQQF3THGL · pith_short_16: 6HFUQQF3THGL6N5Z · pith_short_8: 6HFUQQF3

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/6HFUQQF3THGL6N5ZUVEZLPRKAY \
  | 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: f1cb4840bb99ccbf37b9a54995be2a062a0af49747905c1f96e2e45b2785869d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d09d25e3441c9a7312df606306ece1f85c52f9e37816546ba9703ec3e641275",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2016-05-20T12:28:49Z",
    "title_canon_sha256": "ab9ebb47664e2ae415642a431b57c70931d17e13a515c3b04a931f3a9a63ba6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06322",
    "kind": "arxiv",
    "version": 1
  }
}