Pith Number

pith:4GQT4VJ3

pith:2021:4GQT4VJ3NXTR2OWUTEG43C6NIU

not attested not anchored not stored refs pending

Characterization of Collective Behaviors for Directed Signed Networks

Deyuan Meng, Mingjun Du, Wen Du

arxiv:2105.02402 v1 · 2021-05-06 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GQT4VJ3NXTR2OWUTEG43C6NIU}

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	2026-07-05T02:38:00.923649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1a13e553b6de71d3ad4990dcd8bcd451760075d2359335b9e630511191ab6c6

Aliases

arxiv: 2105.02402 · arxiv_version: 2105.02402v1 · doi: 10.48550/arxiv.2105.02402 · pith_short_12: 4GQT4VJ3NXTR · pith_short_16: 4GQT4VJ3NXTR2OWU · pith_short_8: 4GQT4VJ3

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/4GQT4VJ3NXTR2OWUTEG43C6NIU \
  | 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: e1a13e553b6de71d3ad4990dcd8bcd451760075d2359335b9e630511191ab6c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe6e0143cf3df75aea39392b5bea91d86efdaa1b889b766ea03399f53185d144",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2021-05-06T02:36:12Z",
    "title_canon_sha256": "122761fdba2edb6116a8ef4524e960cfb2e07073d22177e6df5d720b7ad66f36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.02402",
    "kind": "arxiv",
    "version": 1
  }
}