Pith Number

pith:RLLF3I4L

pith:2016:RLLF3I4L7KIKF5A3KIFUSQLOHH

not attested not anchored not stored refs pending

Short loops in surfaces with a circle boundary component

Panos Papasoglu

arxiv:1602.00854 v1 · 2016-02-02 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RLLF3I4L7KIKF5A3KIFUSQLOHH}

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	2026-05-18T01:21:24.437612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ad65da38bfa90a2f41b520b49416e39ee14c54055a297894b562042838294cf

Aliases

arxiv: 1602.00854 · arxiv_version: 1602.00854v1 · doi: 10.48550/arxiv.1602.00854 · pith_short_12: RLLF3I4L7KIK · pith_short_16: RLLF3I4L7KIKF5A3 · pith_short_8: RLLF3I4L

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/RLLF3I4L7KIKF5A3KIFUSQLOHH \
  | 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: 8ad65da38bfa90a2f41b520b49416e39ee14c54055a297894b562042838294cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6004b3943c0daf5ab07a924d682e2a5373352b38c07f9434d20483545dea3f71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-02-02T09:46:53Z",
    "title_canon_sha256": "f01795e3f665a8419f3cef93f59e7aaa8f39041c21800641fcb02a7bd8fe7b0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00854",
    "kind": "arxiv",
    "version": 1
  }
}