Pith Number

pith:F32MAMPT

pith:2010:F32MAMPTWPBOSV7RIAPGZEU3YU

not attested not anchored not stored refs pending

From Bipolar to Elliptical: Morphological Changes in the Temporal Evolution of PN

Adam Frank, Bruce Balick, Eric G. Blackman, Joel H. Kastner, Martin Huarte Espinosa, Orsola De Marco, Raghvendra Sahai

arxiv:1011.4312 v1 · 2010-11-18 · astro-ph.SR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F32MAMPTWPBOSV7RIAPGZEU3YU}

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	2026-05-18T04:35:14.434985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ef4c031f3b3c2e957f1401e6c929bc51d443e6a81c843d3ede13f36497f727b

Aliases

arxiv: 1011.4312 · arxiv_version: 1011.4312v1 · doi: 10.48550/arxiv.1011.4312 · pith_short_12: F32MAMPTWPBO · pith_short_16: F32MAMPTWPBOSV7R · pith_short_8: F32MAMPT

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/F32MAMPTWPBOSV7RIAPGZEU3YU \
  | 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: 2ef4c031f3b3c2e957f1401e6c929bc51d443e6a81c843d3ede13f36497f727b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b966a16004981a1e577fdca22b7d4d943ea3940ba841ffea6f8d89c81a4932",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.SR",
    "submitted_at": "2010-11-18T21:44:04Z",
    "title_canon_sha256": "ab6a4056c87c5a2747045576820d7d5a1b6d65286359dcb52198d6fc35b395e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4312",
    "kind": "arxiv",
    "version": 1
  }
}