Pith Number

pith:3ZSQSJIQ

pith:2012:3ZSQSJIQN74FAATCUMM7UBEDQD

not attested not anchored not stored refs pending

Symmetry of the carbon nanotube modes and their origin from the phonon branches of graphene

M. V. Avramenko, S. B. Rochal, Yu. I. Yuzyuk

arxiv:1207.6238 v1 · 2012-07-26 · 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{3ZSQSJIQN74FAATCUMM7UBEDQD}

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	2026-05-18T01:56:07.233074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de650925106ff8500262a319fa048380d1da2e1e34a3674179ab4e190e9a828b

Aliases

arxiv: 1207.6238 · arxiv_version: 1207.6238v1 · doi: 10.48550/arxiv.1207.6238 · pith_short_12: 3ZSQSJIQN74F · pith_short_16: 3ZSQSJIQN74FAATC · pith_short_8: 3ZSQSJIQ

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/3ZSQSJIQN74FAATCUMM7UBEDQD \
  | 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: de650925106ff8500262a319fa048380d1da2e1e34a3674179ab4e190e9a828b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f85d0b6e59cf9e6e11e80a651b3c4f1a34dfb1029ec92dc7d970250f75381893",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2012-07-26T11:08:25Z",
    "title_canon_sha256": "cd7b28bacf89de02b95d6d4eea975ceeab6a7c490c7ec6823e135193f12f6b3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6238",
    "kind": "arxiv",
    "version": 1
  }
}