Pith Number

pith:UA64PTXP

pith:2010:UA64PTXP663H7OMDVSGVDH2BAD

not attested not anchored not stored refs pending

Dynamical Collapse of Boson Stars

Alessandro Michelangeli, Benjamin Schlein

arxiv:1005.3135 v2 · 2010-05-18 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UA64PTXP663H7OMDVSGVDH2BAD}

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	2026-05-18T02:07:17.691559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a03dc7ceeff7b67fb983ac8d519f4100e845dfc650d659d8ba97bf450b7e91a5

Aliases

arxiv: 1005.3135 · arxiv_version: 1005.3135v2 · doi: 10.48550/arxiv.1005.3135 · pith_short_12: UA64PTXP663H · pith_short_16: UA64PTXP663H7OMD · pith_short_8: UA64PTXP

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/UA64PTXP663H7OMDVSGVDH2BAD \
  | 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: a03dc7ceeff7b67fb983ac8d519f4100e845dfc650d659d8ba97bf450b7e91a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3100d98b3709c36a192a0c024c3016184e8e06d20dd4062cf020aa442db5b64a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-05-18T09:57:45Z",
    "title_canon_sha256": "21f43639246e2117993f00f6fbea43c4845b28a5b9dd6b98e39e0059c61145de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3135",
    "kind": "arxiv",
    "version": 2
  }
}