Pith Number

pith:PYD3FQYS

pith:2015:PYD3FQYSCUMCTNN3TXFDDXQVCX

not attested not anchored not stored refs pending

Low density phases in a uniformly charged liquid

Cyrill Muratov, Hans Knuepfer, Matteo Novaga

arxiv:1504.05600 v1 · 2015-04-21 · math-ph · math.AP · math.MP · nlin.PS

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

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	2026-05-18T01:11:00.174554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e07b2c312151829b5bb9dca31de1515e28f0aaee825fa97cdc48c718b133fd5

Aliases

arxiv: 1504.05600 · arxiv_version: 1504.05600v1 · doi: 10.48550/arxiv.1504.05600 · pith_short_12: PYD3FQYSCUMC · pith_short_16: PYD3FQYSCUMCTNN3 · pith_short_8: PYD3FQYS

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/PYD3FQYSCUMCTNN3TXFDDXQVCX \
  | 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: 7e07b2c312151829b5bb9dca31de1515e28f0aaee825fa97cdc48c718b133fd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48890b2aae5f9cf8cb2c70a7ad23efaff59b54fc61e48fec49aeb6c03cbf96c5",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-04-21T20:19:23Z",
    "title_canon_sha256": "646b63eaa4b205c92c5ab9c333fdd75555a185490c518aae85eaf1f50b84c6b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05600",
    "kind": "arxiv",
    "version": 1
  }
}