Pith Number

pith:4G7GVX24

pith:2013:4G7GVX24NXI3MTUJOKERDXRZGC

not attested not anchored not stored refs pending

Thermal Hawking Broadening and Statistical Entropy of Black Hole Wave Packet

Aharon Davidson, Ben Yellin

arxiv:1306.6403 v1 · 2013-06-27 · gr-qc · 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{4G7GVX24NXI3MTUJOKERDXRZGC}

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	2026-05-18T03:19:44.863138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1be6adf5c6dd1b64e89728911de3930ba14e0ec4eaddaf4a9bb133ba2216b32

Aliases

arxiv: 1306.6403 · arxiv_version: 1306.6403v1 · doi: 10.48550/arxiv.1306.6403 · pith_short_12: 4G7GVX24NXI3 · pith_short_16: 4G7GVX24NXI3MTUJ · pith_short_8: 4G7GVX24

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/4G7GVX24NXI3MTUJOKERDXRZGC \
  | 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: e1be6adf5c6dd1b64e89728911de3930ba14e0ec4eaddaf4a9bb133ba2216b32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bae370e3490a010c9163fa04d7b170da8c5b323dd9b297e7a262c888c744d63",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-06-27T04:01:55Z",
    "title_canon_sha256": "1612a1eee798a47eeab607250c7fb21fa61deb82d70eb63690f20beccf352ac1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6403",
    "kind": "arxiv",
    "version": 1
  }
}