Pith Number

pith:ZH46MTMU

pith:2001:ZH46MTMUU3NHCVA26PD74GERI2

not attested not anchored not stored refs pending

On bilinear invariant differential operators acting on tensor fields on the symplectic manifold

Pavel Grozman

arxiv:math/0101266 v1 · 2001-01-01 · 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{ZH46MTMUU3NHCVA26PD74GERI2}

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	2026-05-18T01:38:30.060556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9f9e64d94a6da71541af3c7fe189146bf7fca3242893beecfafdd481ab64e60

Aliases

arxiv: math/0101266 · arxiv_version: math/0101266v1 · doi: 10.48550/arxiv.math/0101266 · pith_short_12: ZH46MTMUU3NH · pith_short_16: ZH46MTMUU3NHCVA2 · pith_short_8: ZH46MTMU

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/ZH46MTMUU3NHCVA26PD74GERI2 \
  | 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: c9f9e64d94a6da71541af3c7fe189146bf7fca3242893beecfafdd481ab64e60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e77c50aeadaf3b3c9c51a79f2ebc0921ca4ae7060679c8faa76bf2d19b909b08",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2001-01-01T00:00:00Z",
    "title_canon_sha256": "3a327a17c6d8fa802976cfb580002162db91f8ae5e08cd425b67772f52289668"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0101266",
    "kind": "arxiv",
    "version": 1
  }
}