Pith Number

pith:S4EFBK7T

pith:2016:S4EFBK7T4PIB3JKZOTA5IX63TF

not attested not anchored not stored refs pending

Homogenization of a Fully Coupled Thermoelasticity Problem for a Highly Heterogeneous Medium With a Priori Known Phase Transformations

Adrian Muntean, Michael Eden

arxiv:1607.02418 v2 · 2016-07-08 · 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{S4EFBK7T4PIB3JKZOTA5IX63TF}

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	2026-05-18T00:51:01.227388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

970850abf3e3d01da55974c1d45fdb995b443e2070e542527735e31488e4c061

Aliases

arxiv: 1607.02418 · arxiv_version: 1607.02418v2 · doi: 10.48550/arxiv.1607.02418 · pith_short_12: S4EFBK7T4PIB · pith_short_16: S4EFBK7T4PIB3JKZ · pith_short_8: S4EFBK7T

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/S4EFBK7T4PIB3JKZOTA5IX63TF \
  | 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: 970850abf3e3d01da55974c1d45fdb995b443e2070e542527735e31488e4c061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4222576efc2bca57d745ba0122a4f4286f3a0ff74f1d7da2731d2f12a4f6de7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-08T15:39:34Z",
    "title_canon_sha256": "e97e588e573d3bb60474012e623af027fb39caffea4956000272b004091a9085"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02418",
    "kind": "arxiv",
    "version": 2
  }
}