Pith Number

pith:BMXG23JD

pith:2015:BMXG23JDT6V65TNNKC6AZMWFQQ

not attested not anchored not stored refs pending

Identifying manifolds underlying group motion in Vicsek agents

Erik M. Bollt, Kelum Gajamannage, Maurizio Porfiri, Sachit Butail

arxiv:1508.02809 v1 · 2015-08-12 · math.DS · cs.MA · math-ph · math.GT · math.MP · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BMXG23JDT6V65TNNKC6AZMWFQQ}

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	2026-05-18T00:39:57.115242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b2e6d6d239fabeecdad50bc0cb2c584053b15438fd07fdc12b671a78d06e27d

Aliases

arxiv: 1508.02809 · arxiv_version: 1508.02809v1 · doi: 10.48550/arxiv.1508.02809 · pith_short_12: BMXG23JDT6V6 · pith_short_16: BMXG23JDT6V65TNN · pith_short_8: BMXG23JD

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/BMXG23JDT6V65TNNKC6AZMWFQQ \
  | 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: 0b2e6d6d239fabeecdad50bc0cb2c584053b15438fd07fdc12b671a78d06e27d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42db5ce91a6a0ad274dd91d20f2edfcf2ee5ab25544a35dcd7bf7811d1ab64ef",
    "cross_cats_sorted": [
      "cs.MA",
      "math-ph",
      "math.GT",
      "math.MP",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-12T04:51:59Z",
    "title_canon_sha256": "6c7bf039f4fa8a7eda0f6ef95b0e7bfda0d3caf0c733a0ca48b02ee28dd0131d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02809",
    "kind": "arxiv",
    "version": 1
  }
}