Pith Number

pith:QKALZEL6

pith:2021:QKALZEL6LEYRVXG2KDC34DKZW7

not attested not anchored not stored refs pending

Finite rigid sets and the separating curve complex

Bena Tshishiku, Junzhi Huang

arxiv:2109.06986 v1 · 2021-09-14 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKALZEL6LEYRVXG2KDC34DKZW7}

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	2026-07-05T03:14:37.791902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8280bc917e59311adcda50c5be0d59b7d7ef601006ef3c4c37b45feb79413de8

Aliases

arxiv: 2109.06986 · arxiv_version: 2109.06986v1 · doi: 10.48550/arxiv.2109.06986 · pith_short_12: QKALZEL6LEYR · pith_short_16: QKALZEL6LEYRVXG2 · pith_short_8: QKALZEL6

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/QKALZEL6LEYRVXG2KDC34DKZW7 \
  | 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: 8280bc917e59311adcda50c5be0d59b7d7ef601006ef3c4c37b45feb79413de8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "802b88c4c68433c626cfd2cbc3141d82ccebdc02a684d4d0fee5bb6de6dbd38c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-09-14T22:02:53Z",
    "title_canon_sha256": "f38ca160d5580161a426f36143e27307b6635530a9ad4599a245d3f3f6360145"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.06986",
    "kind": "arxiv",
    "version": 1
  }
}