Pith Number

pith:N4KKNFMP

pith:2004:N4KKNFMP6JDZ3IO72B7HA5M65S

not attested not anchored not stored refs pending

The river model of black holes

Andrew J. S. Hamilton, Jason P. Lisle (JILA, U. Colorado)

arxiv:gr-qc/0411060 v2 · 2004-11-12 · gr-qc · astro-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{N4KKNFMP6JDZ3IO72B7HA5M65S}

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.

Cited by

2 papers in Pith

Classical limit for Dirac fermions with modified action in the presence of the black hole

Inside astronomically realistic black holes

Receipt and verification

First computed	2026-07-04T17:28:36.496861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f14a6958ff2479da1dfd07e70759eec8e1edbdfc5c90d425291314125217bed

Aliases

arxiv: gr-qc/0411060 · arxiv_version: gr-qc/0411060v2 · doi: 10.48550/arxiv.gr-qc/0411060 · pith_short_12: N4KKNFMP6JDZ · pith_short_16: N4KKNFMP6JDZ3IO7 · pith_short_8: N4KKNFMP

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/N4KKNFMP6JDZ3IO72B7HA5M65S \
  | 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: 6f14a6958ff2479da1dfd07e70759eec8e1edbdfc5c90d425291314125217bed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f255d002e0989a64f15185a0c4bc2c441f075f81b4d03d9be004afb5a4ea233",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-11-12T03:46:04Z",
    "title_canon_sha256": "d68b2df456726edf81d38f12a08a27dc09c5002145f5d7846df225c2f7e55f65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0411060",
    "kind": "arxiv",
    "version": 2
  }
}