Pith Number

pith:DFSPR3MK

pith:2015:DFSPR3MKJ5QOQDKTNNLVFI6QCB

not attested not anchored not stored refs pending

On the simultaneous homogenization and dimension reduction in elasticity and locality of $\Gamma$-closure

Igor Velcic, Mario Bukal

arxiv:1508.05979 v2 · 2015-08-24 · 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{DFSPR3MKJ5QOQDKTNNLVFI6QCB}

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	2026-05-18T00:59:49.294111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1964f8ed8a4f60e80d536b5752a3d0106a89507fcf9d43376bfa62269bd00c80

Aliases

arxiv: 1508.05979 · arxiv_version: 1508.05979v2 · doi: 10.48550/arxiv.1508.05979 · pith_short_12: DFSPR3MKJ5QO · pith_short_16: DFSPR3MKJ5QOQDKT · pith_short_8: DFSPR3MK

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/DFSPR3MKJ5QOQDKTNNLVFI6QCB \
  | 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: 1964f8ed8a4f60e80d536b5752a3d0106a89507fcf9d43376bfa62269bd00c80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d74b049aa90fa51e4d88ef932ddb2945e68ccb94b8ebf7cea0abaf0b2757dd57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-24T21:38:51Z",
    "title_canon_sha256": "5ea331c865b5459bbd559ab0fbcbe9ccc99e2cbc6fdd20f2ae41340276f561aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05979",
    "kind": "arxiv",
    "version": 2
  }
}