Pith Number

pith:G5NVSNMN

pith:2012:G5NVSNMNADFEPG6PDKY46BLKQV

not attested not anchored not stored refs pending

A bound on group velocity for Bloch wave packets

Gr\'egoire Allaire, Jeffrey Rauch, Mariapia Palombaro

arxiv:1203.0218 v1 · 2012-03-01 · 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{G5NVSNMNADFEPG6PDKY46BLKQV}

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	2026-05-18T04:01:02.820060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

375b59358d00ca479bcf1ab1cf056a856f0251b07759921cf2529fdf2e6b1b16

Aliases

arxiv: 1203.0218 · arxiv_version: 1203.0218v1 · doi: 10.48550/arxiv.1203.0218 · pith_short_12: G5NVSNMNADFE · pith_short_16: G5NVSNMNADFEPG6P · pith_short_8: G5NVSNMN

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/G5NVSNMNADFEPG6PDKY46BLKQV \
  | 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: 375b59358d00ca479bcf1ab1cf056a856f0251b07759921cf2529fdf2e6b1b16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebddfa3deadab9d61c66f91207c3e31ec5315e81b1fedb6995d0284646d9d518",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-01T15:40:23Z",
    "title_canon_sha256": "4307e4ac871e544c2f63552282892aca58642709a84be4de1ea4b37d54e9b171"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0218",
    "kind": "arxiv",
    "version": 1
  }
}