Pith Number

pith:D76ING3T

pith:2022:D76ING3THJJAED3SSFRXAV3JJ6

not attested not anchored not stored refs pending

The Effect of Stars on the Dark Matter Spike Around a Black Hole: A Tale of Two Treatments

Douglas C. Heggie, Stuart L. Shapiro

arxiv:2209.08105 v1 · 2022-09-16 · astro-ph.GA · 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{D76ING3THJJAED3SSFRXAV3JJ6}

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	2026-07-05T04:58:17.182496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ffc869b733a52020f7291637057694f829adb55f0618e0da45702646e49e4e1

Aliases

arxiv: 2209.08105 · arxiv_version: 2209.08105v1 · doi: 10.48550/arxiv.2209.08105 · pith_short_12: D76ING3THJJA · pith_short_16: D76ING3THJJAED3S · pith_short_8: D76ING3T

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/D76ING3THJJAED3SSFRXAV3JJ6 \
  | 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: 1ffc869b733a52020f7291637057694f829adb55f0618e0da45702646e49e4e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "532a702dd434dbd7508c89d8fb747ad898155ee93a05a9f20b136293bcd3c143",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2022-09-16T18:00:03Z",
    "title_canon_sha256": "c0fac9e35ebbc7bb4b2bb308339f2f4e2d179eac5ed18d97530bdcb0fb9d8114"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.08105",
    "kind": "arxiv",
    "version": 1
  }
}