Pith Number

pith:RY7KZQ36

pith:2015:RY7KZQ36FY5TK3F3BEND65CFP5

not attested not anchored not stored refs pending

Symplectic A-directed Immersions

Sauvik Mukherjee

arxiv:1507.05431 v1 · 2015-07-20 · 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{RY7KZQ36FY5TK3F3BEND65CFP5}

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	2026-05-18T01:36:36.817643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e3eacc37e2e3b356cbb091a3f74457f52c2a8c2de1019984fa4e823b4cfd558

Aliases

arxiv: 1507.05431 · arxiv_version: 1507.05431v1 · doi: 10.48550/arxiv.1507.05431 · pith_short_12: RY7KZQ36FY5T · pith_short_16: RY7KZQ36FY5TK3F3 · pith_short_8: RY7KZQ36

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/RY7KZQ36FY5TK3F3BEND65CFP5 \
  | 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: 8e3eacc37e2e3b356cbb091a3f74457f52c2a8c2de1019984fa4e823b4cfd558

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb43ba6d5674706b57c0dc90cb022723a6ab341aa5ccd8c81ae55ee5d6f3cad6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-07-20T10:07:34Z",
    "title_canon_sha256": "e02dbaa5a488474b5cc518da9ec92f7d9f5da40ea16d6087845565f3e43d409f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05431",
    "kind": "arxiv",
    "version": 1
  }
}