Pith Number

pith:TJURMLZS

pith:2019:TJURMLZS6NYOHXP2GRXGK2WQOR

not attested not anchored not stored refs pending

Protecting points from operator pencils

Albrecht Seelmann, Kre\v{s}imir Veseli\'c, Matthias T\"aufer

arxiv:1908.08897 v2 · 2019-08-23 · math.SP · 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{TJURMLZS6NYOHXP2GRXGK2WQOR}

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	2026-07-05T02:44:47.080758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a69162f32f370e3ddfa346e656ad0744659baa12dba510656f3553550e830cf

Aliases

arxiv: 1908.08897 · arxiv_version: 1908.08897v2 · doi: 10.48550/arxiv.1908.08897 · pith_short_12: TJURMLZS6NYO · pith_short_16: TJURMLZS6NYOHXP2 · pith_short_8: TJURMLZS

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/TJURMLZS6NYOHXP2GRXGK2WQOR \
  | 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: 9a69162f32f370e3ddfa346e656ad0744659baa12dba510656f3553550e830cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f05e05359c041c59d4737f877d6afd537f1a8a9fc5e871be38af3b3c26c7753",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-08-23T16:37:48Z",
    "title_canon_sha256": "4910f6fe801d5681f12ad585f73fc8fe324ff89d1a0946bca4a13231f8336a70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08897",
    "kind": "arxiv",
    "version": 2
  }
}