Pith Number

pith:SJPWGT3S

pith:2011:SJPWGT3STHSUTC2NIMBBCQ4KPS

not attested not anchored not stored refs pending

Symmetry, compatibility and exact solutions of PDEs

Boris Kruglikov

arxiv:1111.5856 v2 · 2011-11-24 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SJPWGT3STHSUTC2NIMBBCQ4KPS}

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	2026-05-18T04:00:51.718289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

925f634f7299e5498b4d430211438a7ca54825a22a8caf7b8a014d2c090554e9

Aliases

arxiv: 1111.5856 · arxiv_version: 1111.5856v2 · doi: 10.48550/arxiv.1111.5856 · pith_short_12: SJPWGT3STHSU · pith_short_16: SJPWGT3STHSUTC2N · pith_short_8: SJPWGT3S

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/SJPWGT3STHSUTC2NIMBBCQ4KPS \
  | 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: 925f634f7299e5498b4d430211438a7ca54825a22a8caf7b8a014d2c090554e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75efc0b8959d4664a7765187f24b9946a128e63b0786f0fcce634809f91dadd4",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-24T21:41:19Z",
    "title_canon_sha256": "3fd605bfcbff71b02fa1eba1e8ce33e209799a49e7c161fd526c100963f6504e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5856",
    "kind": "arxiv",
    "version": 2
  }
}