Pith Number

pith:NIYV6WN7

pith:2012:NIYV6WN7J2KGMPAD2NARV27ZQB

not attested not anchored not stored refs pending

Parabolic Molecules

Gitta Kutyniok, Philipp Grohs

arxiv:1206.1958 v1 · 2012-06-09 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NIYV6WN7J2KGMPAD2NARV27ZQB}

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	2026-05-18T03:53:53.722424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a315f59bf4e94663c03d3411aebf9807ead65240842c367acc110e081627a1d

Aliases

arxiv: 1206.1958 · arxiv_version: 1206.1958v1 · doi: 10.48550/arxiv.1206.1958 · pith_short_12: NIYV6WN7J2KG · pith_short_16: NIYV6WN7J2KGMPAD · pith_short_8: NIYV6WN7

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/NIYV6WN7J2KGMPAD2NARV27ZQB \
  | 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: 6a315f59bf4e94663c03d3411aebf9807ead65240842c367acc110e081627a1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dea9af10b4ecd0f357061353b076bc840251d734b4fa72c9d1fe5b34642aa53e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-06-09T17:50:29Z",
    "title_canon_sha256": "9476105860184e2d987f076bd5346afe2799c37a5adfd3304f353f0fb5828e51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1958",
    "kind": "arxiv",
    "version": 1
  }
}