Pith Number

pith:MGBICP3S

pith:2012:MGBICP3S26X6GOJLCFLF5HTVJM

not attested not anchored not stored refs pending

Bounds on the volume fraction of the two-phase shallow shell using one measurement

Graeme W. Milton, Hyeonbae Kang, Jenn-Nan Wang

arxiv:1204.4962 v1 · 2012-04-23 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGBICP3S26X6GOJLCFLF5HTVJM}

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	2026-05-18T03:57:15.061871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6182813f72d7afe3392b11565e9e754b0ea3ce3d2257e33fddc2445b74ed1376

Aliases

arxiv: 1204.4962 · arxiv_version: 1204.4962v1 · doi: 10.48550/arxiv.1204.4962 · pith_short_12: MGBICP3S26X6 · pith_short_16: MGBICP3S26X6GOJL · pith_short_8: MGBICP3S

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/MGBICP3S26X6GOJLCFLF5HTVJM \
  | 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: 6182813f72d7afe3392b11565e9e754b0ea3ce3d2257e33fddc2445b74ed1376

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82383763ee7f859ec55c6f02e539beeffc4ebda61563b120f280f3408ad3591b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-23T02:09:29Z",
    "title_canon_sha256": "ac6c20b4d85bd2d74e360c7edee16d2dff9c4dcfb906c163d6fb1c003cc41893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4962",
    "kind": "arxiv",
    "version": 1
  }
}