Pith Number

pith:F4A5S4QX

pith:2012:F4A5S4QXVHRRSK3MNUS4YB2F2I

not attested not anchored not stored refs pending

Expanding and Collapsing Scalar Field Thin Shell

G. Abbas, M. Sharif

arxiv:1208.5479 v1 · 2012-08-27 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4A5S4QXVHRRSK3MNUS4YB2F2I}

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	2026-05-18T01:54:51.225932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f01d97217a9e3192b6c6d25cc0745d209648b5a5da4762b055c875e51186e96

Aliases

arxiv: 1208.5479 · arxiv_version: 1208.5479v1 · doi: 10.48550/arxiv.1208.5479 · pith_short_12: F4A5S4QXVHRR · pith_short_16: F4A5S4QXVHRRSK3M · pith_short_8: F4A5S4QX

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/F4A5S4QXVHRRSK3MNUS4YB2F2I \
  | 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: 2f01d97217a9e3192b6c6d25cc0745d209648b5a5da4762b055c875e51186e96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d639b1db46b442552c9b30c92a85d14c147ebbd5b64a7d0d073b282b0856e7cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-08-27T02:26:44Z",
    "title_canon_sha256": "95570c48dc775663cbf5981d50f9d8fe558b5eecfea355a502d281c8e3c2bd55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5479",
    "kind": "arxiv",
    "version": 1
  }
}