Pith Number

pith:AK75EEDL

pith:2012:AK75EEDLKSG3TDCGDWKI5SQHF5

not attested not anchored not stored refs pending

Satellites of Legendrian knots and representations of the Chekanov-Eliashberg algebra

Dan Rutherford, Lenhard Ng

arxiv:1206.2259 v1 · 2012-06-11 · math.SG · 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{AK75EEDLKSG3TDCGDWKI5SQHF5}

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	2026-05-18T03:16:17.440706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02bfd2106b548db98c461d948eca072f755d8cfec6d86b086a583b8693ef5a47

Aliases

arxiv: 1206.2259 · arxiv_version: 1206.2259v1 · doi: 10.48550/arxiv.1206.2259 · pith_short_12: AK75EEDLKSG3 · pith_short_16: AK75EEDLKSG3TDCG · pith_short_8: AK75EEDL

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/AK75EEDLKSG3TDCGDWKI5SQHF5 \
  | 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: 02bfd2106b548db98c461d948eca072f755d8cfec6d86b086a583b8693ef5a47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a201097771570ae621712c56dc93a58c5c5cf4aef26372a398d20e38e8c01a58",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-06-11T15:39:00Z",
    "title_canon_sha256": "284621e1d9c4a09b8beb9ec4d3811facbe6ebeb2681a9378f27b96741b217dd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2259",
    "kind": "arxiv",
    "version": 1
  }
}