Pith Number

pith:GLP5WY5Y

pith:2016:GLP5WY5Y4QH2V3ZMYLUURGAZGX

not attested not anchored not stored refs pending

A rigorous approach to the field recursion method for two-component composites with isotropic phases

Aaron Welters, Graeme W. Milton, Maxence Cassier

arxiv:1601.01378 v2 · 2016-01-07 · 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{GLP5WY5Y4QH2V3ZMYLUURGAZGX}

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	2026-05-18T01:02:56.620277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32dfdb63b8e40faaef2cc2e948981935d8c9d23b675fd0b1fada11e1c03cb829

Aliases

arxiv: 1601.01378 · arxiv_version: 1601.01378v2 · doi: 10.48550/arxiv.1601.01378 · pith_short_12: GLP5WY5Y4QH2 · pith_short_16: GLP5WY5Y4QH2V3ZM · pith_short_8: GLP5WY5Y

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/GLP5WY5Y4QH2V3ZMYLUURGAZGX \
  | 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: 32dfdb63b8e40faaef2cc2e948981935d8c9d23b675fd0b1fada11e1c03cb829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8699ab253dacf61ef47cc87d552cb4afa927defa95a17a45a829ac86a772793d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-01-07T02:48:48Z",
    "title_canon_sha256": "d3c2832cedea77ffc327364d7c336da8ee4746db21d30aa1f545e4106e96e687"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01378",
    "kind": "arxiv",
    "version": 2
  }
}