Pith Number

pith:YMEGDLY2

pith:2005:YMEGDLY2JSF264FKPAA66GC3RN

not attested not anchored not stored refs pending

Operators with smooth functional calculi

H{\aa}kan Samuelsson, Mats Andersson, Sebastian Sandberg

arxiv:math/0503256 v1 · 2005-03-14 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMEGDLY2JSF264FKPAA66GC3RN}

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	2026-05-18T01:08:51.242692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c30861af1a4c8baf70aa7801ef185b8b57cfc8e44f67bb653c23b8f1f7cd1dc9

Aliases

arxiv: math/0503256 · arxiv_version: math/0503256v1 · doi: 10.48550/arxiv.math/0503256 · pith_short_12: YMEGDLY2JSF2 · pith_short_16: YMEGDLY2JSF264FK · pith_short_8: YMEGDLY2

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/YMEGDLY2JSF264FKPAA66GC3RN \
  | 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: c30861af1a4c8baf70aa7801ef185b8b57cfc8e44f67bb653c23b8f1f7cd1dc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d8b1d7096d036eb27ad0dd2af6efc0b9395c6e273ab4ce609b654a435c2fb41",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2005-03-14T11:28:15Z",
    "title_canon_sha256": "ca2788beb3345660d213a0621256a480d93512deb290bebc9373d35deece9697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503256",
    "kind": "arxiv",
    "version": 1
  }
}