Pith Number

pith:IQDZDTBR

pith:2011:IQDZDTBR2TMR2S4UEIWLLIQPOC

not attested not anchored not stored refs pending

Superluminal phase and group velocities: A tutorial on Sommerfeld's phase, group, and front velocities for wave motion in a medium, with applications to the "instantaneous superluminality" of electrons

Raymond Chiao

arxiv:1111.2402 v1 · 2011-11-10 · physics.class-ph · cond-mat.supr-con

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IQDZDTBR2TMR2S4UEIWLLIQPOC}

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	2026-05-18T04:08:34.270432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

440791cc31d4d91d4b94222cb5a20f70a229fc336895abcfbe5b25dcd34af145

Aliases

arxiv: 1111.2402 · arxiv_version: 1111.2402v1 · doi: 10.48550/arxiv.1111.2402 · pith_short_12: IQDZDTBR2TMR · pith_short_16: IQDZDTBR2TMR2S4U · pith_short_8: IQDZDTBR

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/IQDZDTBR2TMR2S4UEIWLLIQPOC \
  | 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: 440791cc31d4d91d4b94222cb5a20f70a229fc336895abcfbe5b25dcd34af145

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86190fca9de225364764722cd0d3ff365ac8935f53c5397d920c6bbb197460bd",
    "cross_cats_sorted": [
      "cond-mat.supr-con"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2011-11-10T06:40:08Z",
    "title_canon_sha256": "76a2e24f944c73c29cc0d5982833f6ca85b7b4aebec3c099f679754c27b512fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2402",
    "kind": "arxiv",
    "version": 1
  }
}