Pith Number

pith:HKCNO5VC

pith:2009:HKCNO5VCDZZXWZHI2JPSGWJTEF

not attested not anchored not stored refs pending

Effective Elastic Moduli in Solids with High Crack Density

Clemens Gugenberger, Efim Brener, Robert Spatschek

arxiv:0907.4162 v1 · 2009-07-23 · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKCNO5VCDZZXWZHI2JPSGWJTEF}

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	2026-05-18T02:12:54.140485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a84d776a21e737b64e8d25f23593321455af8f89798deab1e9d754a171872c6

Aliases

arxiv: 0907.4162 · arxiv_version: 0907.4162v1 · doi: 10.48550/arxiv.0907.4162 · pith_short_12: HKCNO5VCDZZX · pith_short_16: HKCNO5VCDZZXWZHI · pith_short_8: HKCNO5VC

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/HKCNO5VCDZZXWZHI2JPSGWJTEF \
  | 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: 3a84d776a21e737b64e8d25f23593321455af8f89798deab1e9d754a171872c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4664bbf0a192444dd1c3bd5c61b071485b3c52100e052e82622a735fe5d06f56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2009-07-23T20:23:50Z",
    "title_canon_sha256": "f6503b78e84a25326de6b37c4e40325ca03758d00b1848a152407cf4e23d90c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4162",
    "kind": "arxiv",
    "version": 1
  }
}