Pith Number

pith:TWAX4MUE

pith:2003:TWAX4MUEBOURVIGYH3HFDQEIVJ

not attested not anchored not stored refs pending

Propagating phase boundaries as sonic horizons

Tanmay Vachaspati

arxiv:gr-qc/0312069 v2 · 2003-12-15 · gr-qc · astro-ph · cond-mat · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TWAX4MUEBOURVIGYH3HFDQEIVJ}

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	2026-07-04T14:25:43.786665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d817e32840ba91aa0d83ece51c088aa419d570e11a22d9629ce0145f34724c2

Aliases

arxiv: gr-qc/0312069 · arxiv_version: gr-qc/0312069v2 · doi: 10.48550/arxiv.gr-qc/0312069 · pith_short_12: TWAX4MUEBOUR · pith_short_16: TWAX4MUEBOURVIGY · pith_short_8: TWAX4MUE

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/TWAX4MUEBOURVIGYH3HFDQEIVJ \
  | 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: 9d817e32840ba91aa0d83ece51c088aa419d570e11a22d9629ce0145f34724c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ea189794b88a9ab617f1a0d9f6789d88393002ed6077f064d8f8b9f0ae53e5a",
    "cross_cats_sorted": [
      "astro-ph",
      "cond-mat",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-12-15T22:30:31Z",
    "title_canon_sha256": "b6025ebd571203a854b2ada46840fce59a8f20c7a0a5489c9a4aef5467d3221b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0312069",
    "kind": "arxiv",
    "version": 2
  }
}