Pith Number

pith:X6CPPTYB

pith:2015:X6CPPTYBNSCNYRR5JY6YNN7YRO

not attested not anchored not stored refs pending

Emergent geometries and nonlinear-wave dynamics in photon fluids

Antonello Ortolan, Calum Maitland, Daniele Faccio, David Vocke, Francesco Marino

arxiv:1512.01352 v1 · 2015-12-04 · gr-qc · physics.flu-dyn · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X6CPPTYBNSCNYRR5JY6YNN7YRO}

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	2026-05-18T01:25:17.201777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf84f7cf016c84dc463d4e3d86b7f88ba3524bdd893e2e1eae4923275bc8b6cd

Aliases

arxiv: 1512.01352 · arxiv_version: 1512.01352v1 · doi: 10.48550/arxiv.1512.01352 · pith_short_12: X6CPPTYBNSCN · pith_short_16: X6CPPTYBNSCNYRR5 · pith_short_8: X6CPPTYB

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/X6CPPTYBNSCNYRR5JY6YNN7YRO \
  | 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: bf84f7cf016c84dc463d4e3d86b7f88ba3524bdd893e2e1eae4923275bc8b6cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d11354a118d6888a309d60c1f831873c418804b1766c4983967c8169ad4171b8",
    "cross_cats_sorted": [
      "physics.flu-dyn",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-04T09:45:48Z",
    "title_canon_sha256": "71aded05f720f556d3fe36b0d34bdb3b20b42ef64631bd97face6fd167ed5733"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01352",
    "kind": "arxiv",
    "version": 1
  }
}