Pith Number

pith:2POE44NH

pith:2008:2POE44NHWS64HOETC5TNVXDHCI

not attested not anchored not stored refs pending

Some remarks on the size of tubular neighborhoods in contact topology and fillability

Francisco Presas, Klaus Niederkr\"uger

arxiv:0812.2108 v2 · 2008-12-11 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2POE44NHWS64HOETC5TNVXDHCI}

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	2026-05-18T02:38:18.956373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3dc4e71a7b4bdc3b8931766dadc671234e5b5d41e595b2558f167b59b116ce8

Aliases

arxiv: 0812.2108 · arxiv_version: 0812.2108v2 · doi: 10.48550/arxiv.0812.2108 · pith_short_12: 2POE44NHWS64 · pith_short_16: 2POE44NHWS64HOET · pith_short_8: 2POE44NH

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/2POE44NHWS64HOETC5TNVXDHCI \
  | 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: d3dc4e71a7b4bdc3b8931766dadc671234e5b5d41e595b2558f167b59b116ce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5fc5900388e8bdb56191a628e3b52fd03b16650bdf25fe5cf573f9d0a370d40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2008-12-11T09:25:31Z",
    "title_canon_sha256": "e2632de74517c28cf70853162bb9bf9f22d26ce0b4b104525455359eaf7f45f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2108",
    "kind": "arxiv",
    "version": 2
  }
}