Pith Number

pith:4ACX4JDQ

pith:2010:4ACX4JDQCHTOWNCTUAH6KXBGDT

not attested not anchored not stored refs pending

Generalized Schwarzschild's method

Mir Abbas Jalali, Scott Tremaine

arxiv:1007.4298 v1 · 2010-07-25 · astro-ph.IM · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ACX4JDQCHTOWNCTUAH6KXBGDT}

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	2026-05-18T02:06:10.730289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0057e247011e6eb3453a00fe55c261ce381fc3535b55e14595ece7b1fc0a84c

Aliases

arxiv: 1007.4298 · arxiv_version: 1007.4298v1 · doi: 10.48550/arxiv.1007.4298 · pith_short_12: 4ACX4JDQCHTO · pith_short_16: 4ACX4JDQCHTOWNCT · pith_short_8: 4ACX4JDQ

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/4ACX4JDQCHTOWNCTUAH6KXBGDT \
  | 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: e0057e247011e6eb3453a00fe55c261ce381fc3535b55e14595ece7b1fc0a84c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "598769e28e596922da0421d33f7aa4c7a4b4333bb8b12e859086de8e8ca7a0c1",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2010-07-25T03:07:14Z",
    "title_canon_sha256": "bb720a712607b30add0d7ab494b0ccb743c68088fdc620a2bfe2e34440c91382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4298",
    "kind": "arxiv",
    "version": 1
  }
}