Pith Number

pith:ISIJ3C4V

pith:2011:ISIJ3C4VAOKKKJWH5PILCKKP7Y

not attested not anchored not stored refs pending

Dirac Cones at k=0 in Phononic Crystals

C. T. Chan, Fengming Liu, Xueqin Huang, Yun Lai

arxiv:1106.4186 v4 · 2011-06-21 · 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{ISIJ3C4VAOKKKJWH5PILCKKP7Y}

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	2026-05-18T02:01:32.428391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44909d8b950394a526c7ebd0b1294ffe0e08e5e50e5f0de52324ac28025fb537

Aliases

arxiv: 1106.4186 · arxiv_version: 1106.4186v4 · doi: 10.48550/arxiv.1106.4186 · pith_short_12: ISIJ3C4VAOKK · pith_short_16: ISIJ3C4VAOKKKJWH · pith_short_8: ISIJ3C4V

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/ISIJ3C4VAOKKKJWH5PILCKKP7Y \
  | 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: 44909d8b950394a526c7ebd0b1294ffe0e08e5e50e5f0de52324ac28025fb537

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18500c42717f0687dd7a65d7567ceea361f0eb61d8d0c02342c41dcb3ccd8c62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2011-06-21T12:55:59Z",
    "title_canon_sha256": "be0d787f835544fb1abfe77965247a6d942a9993d44b42b42f171eecdbcbcd63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4186",
    "kind": "arxiv",
    "version": 4
  }
}