Pith Number

pith:VXB4RSJR

pith:2016:VXB4RSJRE4GII7GWDIRRC54VEN

not attested not anchored not stored refs pending

On particles in equilibrium on the real line

Agelos Georgakopoulos, Mihail N. Kolountzakis

arxiv:1604.01649 v1 · 2016-04-06 · math.CA · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXB4RSJRE4GII7GWDIRRC54VEN}

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	2026-05-18T01:17:28.385633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adc3c8c931270c847cd61a231177952362f6156f69ff8d2f79e3dbbbbc106d4f

Aliases

arxiv: 1604.01649 · arxiv_version: 1604.01649v1 · doi: 10.48550/arxiv.1604.01649 · pith_short_12: VXB4RSJRE4GI · pith_short_16: VXB4RSJRE4GII7GW · pith_short_8: VXB4RSJR

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/VXB4RSJRE4GII7GWDIRRC54VEN \
  | 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: adc3c8c931270c847cd61a231177952362f6156f69ff8d2f79e3dbbbbc106d4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c35a67869b4caa6ea4fa66354891408ead67f3c4382f8226db081acb8b9f1dd",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-04-06T14:52:41Z",
    "title_canon_sha256": "fb89a167eb61207086f58683ed266232d03ad35c1eb1f92c28b3c1b05f54a428"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01649",
    "kind": "arxiv",
    "version": 1
  }
}