Pith Number

pith:MMT4EQJD

pith:2014:MMT4EQJD46HP7R6W6FFBKGXZQY

not attested not anchored not stored refs pending

Exact determination of the volume of an inclusion in a body having constant shear modulus

Andrew E. Thaler, Graeme W. Milton

arxiv:1406.6656 v1 · 2014-06-25 · math.AP · 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{MMT4EQJD46HP7R6W6FFBKGXZQY}

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	2026-05-18T01:55:53.347794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6327c24123e78effc7d6f14a151af98621adbcdb7638814bf0692fc644a877f8

Aliases

arxiv: 1406.6656 · arxiv_version: 1406.6656v1 · doi: 10.48550/arxiv.1406.6656 · pith_short_12: MMT4EQJD46HP · pith_short_16: MMT4EQJD46HP7R6W · pith_short_8: MMT4EQJD

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/MMT4EQJD46HP7R6W6FFBKGXZQY \
  | 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: 6327c24123e78effc7d6f14a151af98621adbcdb7638814bf0692fc644a877f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27acd93d80a568636287225f4919f8818f9c67d71a31ab6e0a53d87acc531636",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-06-25T18:13:53Z",
    "title_canon_sha256": "8304d7fa1dbaf3f434ae7eb8eeb003ca3a5d800cffd755c7e9114d047dc64f0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6656",
    "kind": "arxiv",
    "version": 1
  }
}