Pith Number

pith:MUXGAIG5

pith:2026:MUXGAIG5RJ3XMJ4NRVDLBENRNA

not attested not anchored not stored refs pending

Characterizing slopes for Legendrian knots

Chi Zhang, Youlin Li

arxiv:2608.06079 v1 · 2026-08-06 · math.GT · 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{MUXGAIG5RJ3XMJ4NRVDLBENRNA}

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	2026-08-07T01:40:29.797019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

652e6020dd8a7776278d8d46b091b16803102e8f7af2c98b274b9cfc9901f462

Aliases

arxiv: 2608.06079 · arxiv_version: 2608.06079v1 · doi: 10.48550/arxiv.2608.06079 · pith_short_12: MUXGAIG5RJ3X · pith_short_16: MUXGAIG5RJ3XMJ4N · pith_short_8: MUXGAIG5

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/MUXGAIG5RJ3XMJ4NRVDLBENRNA \
  | 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: 652e6020dd8a7776278d8d46b091b16803102e8f7af2c98b274b9cfc9901f462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0821cbe30a14fd1a389abebe6666ca243139be1f68075309d3b3d5e073dbc8b5",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-08-06T14:22:26Z",
    "title_canon_sha256": "f5c2b12d4dcf43ab73ed1e68f95beb82c50bd2348cb63c81a1312afd6d993bb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06079",
    "kind": "arxiv",
    "version": 1
  }
}