Pith Number

pith:XOLXW7N2

pith:2020:XOLXW7N2G3E2LF76MRG7TGVE7S

not attested not anchored not stored refs pending

Null octagon from Deift-Zhou steepest descent

A.V. Belitsky

arxiv:2012.10446 v1 · 2020-12-18 · hep-th · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOLXW7N2G3E2LF76MRG7TGVE7S}

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.

Cited by

1 paper in Pith

Walking Sudakov: From Cusp to Octagon

Receipt and verification

First computed	2026-07-05T02:00:39.226065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb977b7dba36c9a597fe644df99aa4fc859581837fb600b45199b5e2b7176d56

Aliases

arxiv: 2012.10446 · arxiv_version: 2012.10446v1 · doi: 10.48550/arxiv.2012.10446 · pith_short_12: XOLXW7N2G3E2 · pith_short_16: XOLXW7N2G3E2LF76 · pith_short_8: XOLXW7N2

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/XOLXW7N2G3E2LF76MRG7TGVE7S \
  | 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: bb977b7dba36c9a597fe644df99aa4fc859581837fb600b45199b5e2b7176d56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22dcb0f28630c7cec655dd5a0b37b59e7f6b7ad07aa66800119016997a3bb567",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-12-18T18:59:59Z",
    "title_canon_sha256": "d46eba661bc9d4644c4a716ab27958791092dda8d33f2f21e0ef3ff9b586f483"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.10446",
    "kind": "arxiv",
    "version": 1
  }
}