Pith Number

pith:VB2RGH7X

pith:2016:VB2RGH7XJXG7ELXQSCP7KDWUVP

not attested not anchored not stored refs pending

Legendrian Fronts for Affine Varieties

Emmy Murphy, Roger Casals

arxiv:1610.06977 v1 · 2016-10-21 · math.SG · math.AG · 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{VB2RGH7XJXG7ELXQSCP7KDWUVP}

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	2026-05-17T23:51:00.466814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a875131ff74dcdf22ef0909ff50ed4abc2dfd2501cfca6dda83e7715fddcf51b

Aliases

arxiv: 1610.06977 · arxiv_version: 1610.06977v1 · doi: 10.48550/arxiv.1610.06977 · pith_short_12: VB2RGH7XJXG7 · pith_short_16: VB2RGH7XJXG7ELXQ · pith_short_8: VB2RGH7X

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/VB2RGH7XJXG7ELXQSCP7KDWUVP \
  | 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: a875131ff74dcdf22ef0909ff50ed4abc2dfd2501cfca6dda83e7715fddcf51b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b700719ad165fea76df908d36ae86e0dead1e98c8eb5915f0b7ea160a0064ff",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-10-21T23:54:02Z",
    "title_canon_sha256": "5e9f21e6a6ef6f25ec81e5f6317c4deae41510f7f86fde19c5b0e5d22e9f08e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06977",
    "kind": "arxiv",
    "version": 1
  }
}