Pith Number

pith:PCHTSWDL

pith:2025:PCHTSWDLQTM53I7WMYES5PSQIS

not attested not anchored not stored refs pending

Black-hole hair from vector dark matter accretion

Fredric Hancock, Helvi Witek

arxiv:2506.06554 v3 · 2025-06-06 · gr-qc · astro-ph.HE · 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{PCHTSWDLQTM53I7WMYES5PSQIS}

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	2026-06-04T00:06:50.209950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

788f39586b84d9dda3f666092ebe5044a6ebffe6efc11bcd2a417de15117b1ba

Aliases

arxiv: 2506.06554 · arxiv_version: 2506.06554v3 · doi: 10.48550/arxiv.2506.06554 · pith_short_12: PCHTSWDLQTM5 · pith_short_16: PCHTSWDLQTM53I7W · pith_short_8: PCHTSWDL

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/PCHTSWDLQTM53I7WMYES5PSQIS \
  | 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: 788f39586b84d9dda3f666092ebe5044a6ebffe6efc11bcd2a417de15117b1ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "515be22ea3c045b1dd1ef4e90eca1713269d86571d8f288ff518b8e8063c8016",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-06-06T22:01:29Z",
    "title_canon_sha256": "610a7533ef9a0e4cfe074b8259af2710bd4716f6a294b4fa030f2a93a9774b6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06554",
    "kind": "arxiv",
    "version": 3
  }
}