Pith Number

pith:64JMTGY7

pith:2015:64JMTGY7HUVKU6ICCLRXPRQ2MV

not attested not anchored not stored refs pending

Sparsity of the Hawking flux

Alexander Van-Brunt (Victoria University of Wellington), Finnian Gray (Victoria University of Wellington), Matt Visser (Victoria University of Wellington), Sebastian Schuster (Victoria University of Wellington)

arxiv:1512.05809 v1 · 2015-12-17 · 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{64JMTGY7HUVKU6ICCLRXPRQ2MV}

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	2026-05-18T00:20:27.809945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f712c99b1f3d2aaa790212e377c61a656cca93f238ba535734199a4a9e90fac2

Aliases

arxiv: 1512.05809 · arxiv_version: 1512.05809v1 · doi: 10.48550/arxiv.1512.05809 · pith_short_12: 64JMTGY7HUVK · pith_short_16: 64JMTGY7HUVKU6IC · pith_short_8: 64JMTGY7

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/64JMTGY7HUVKU6ICCLRXPRQ2MV \
  | 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: f712c99b1f3d2aaa790212e377c61a656cca93f238ba535734199a4a9e90fac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef879de0b58e71ff747f83027398dc3bdbe32e7832d623ffc80b8e0d2d95b169",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-17T21:49:47Z",
    "title_canon_sha256": "1b7398b7b752d949c1251739b6aba361aac466049fcda709b9b329cd4e12d40b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05809",
    "kind": "arxiv",
    "version": 1
  }
}