Pith Number

pith:6PIK6J3G

pith:2016:6PIK6J3GPMWXZNXTOMY3UM5CO6

not attested not anchored not stored refs pending

Thermodynamics of a one-dimensional self-gravitating gas with periodic boundary conditions

Bruce N. Miller, Dan Pirjol, Pankaj Kumar

arxiv:1607.08490 v1 · 2016-06-29 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PIK6J3GPMWXZNXTOMY3UM5CO6}

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	2026-05-18T00:50:19.630268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3d0af27667b2d7cb6f37331ba33a277b8262c4fdcf03daeb5cee8cabf00f48f

Aliases

arxiv: 1607.08490 · arxiv_version: 1607.08490v1 · doi: 10.48550/arxiv.1607.08490 · pith_short_12: 6PIK6J3GPMWX · pith_short_16: 6PIK6J3GPMWXZNXT · pith_short_8: 6PIK6J3G

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/6PIK6J3GPMWXZNXTOMY3UM5CO6 \
  | 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: f3d0af27667b2d7cb6f37331ba33a277b8262c4fdcf03daeb5cee8cabf00f48f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66fa5ffb65585b69b18243e28b4d3a90822f9dd0042a5008f3c6178937ff3f34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-06-29T12:13:00Z",
    "title_canon_sha256": "3e479c58a4015021ff129aaab931035190aa543cac15434c057b4d558ba05c29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08490",
    "kind": "arxiv",
    "version": 1
  }
}