Pith Number

pith:ADZTRFGJ

pith:2016:ADZTRFGJTSIDWPQL23WHGWID4L

not attested not anchored not stored refs pending

Black holes and quantum theory on manifolds with singular potentials

J. M. Munoz-Castaneda, T R Govindarajan

arxiv:1606.02079 v3 · 2016-06-07 · math-ph · gr-qc · hep-th · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ADZTRFGJTSIDWPQL23WHGWID4L}

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	2026-05-18T01:02:52.029531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00f33894c99c903b3e0bd6ec735903e2d3fff8ab78f30df3f582ef66d664d6e0

Aliases

arxiv: 1606.02079 · arxiv_version: 1606.02079v3 · doi: 10.48550/arxiv.1606.02079 · pith_short_12: ADZTRFGJTSID · pith_short_16: ADZTRFGJTSIDWPQL · pith_short_8: ADZTRFGJ

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/ADZTRFGJTSIDWPQL23WHGWID4L \
  | 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: 00f33894c99c903b3e0bd6ec735903e2d3fff8ab78f30df3f582ef66d664d6e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8180b55cbfc25afe467122cb0352767b94552a69b42d9fe2e59b040c778205b7",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-06-07T10:08:32Z",
    "title_canon_sha256": "3da400203f07d34adccc9a198fbdd1ad7281fbdcd69915de211b24e5c0b357f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02079",
    "kind": "arxiv",
    "version": 3
  }
}