Pith Number

pith:YJAQRBBP

pith:2013:YJAQRBBP7GUIHJ2QIFV66MJ2KW

not attested not anchored not stored refs pending

Maps preserving the fixed points of products of operators

Ali Taghavi, Roja Hosseinzadeh, Vahid Darvish

arxiv:1308.3562 v1 · 2013-08-16 · 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{YJAQRBBP7GUIHJ2QIFV66MJ2KW}

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	2026-05-18T03:15:44.556247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c24108842ff9a883a750416bef313a559621c46dcc3d97a6879291dc2b8a0532

Aliases

arxiv: 1308.3562 · arxiv_version: 1308.3562v1 · doi: 10.48550/arxiv.1308.3562 · pith_short_12: YJAQRBBP7GUI · pith_short_16: YJAQRBBP7GUIHJ2Q · pith_short_8: YJAQRBBP

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/YJAQRBBP7GUIHJ2QIFV66MJ2KW \
  | 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: c24108842ff9a883a750416bef313a559621c46dcc3d97a6879291dc2b8a0532

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe01d5faf9dab2e76370097b5e4900a47ef43f247766f03747aee03f362fd67e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-08-16T06:16:16Z",
    "title_canon_sha256": "a06c1bf288bdfe0500d11b1238cd5b0dc36f378f4062c854974eda62ba936edc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3562",
    "kind": "arxiv",
    "version": 1
  }
}