Pith Number

pith:3MDRY3MN

pith:2015:3MDRY3MN72OTU7LU4BX4FDD7XI

not attested not anchored not stored refs pending

Introduction to graded geometry

Maxime Fairon

arxiv:1512.02810 v2 · 2015-12-09 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MDRY3MN72OTU7LU4BX4FDD7XI}

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

Flows on Graded Manifolds

Receipt and verification

First computed	2026-05-18T00:19:59.570799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db071c6d8dfe9d3a7d74e06fc28c7fba00cd5aafdb6a7a7b57fc92d507fa12cb

Aliases

arxiv: 1512.02810 · arxiv_version: 1512.02810v2 · doi: 10.48550/arxiv.1512.02810 · pith_short_12: 3MDRY3MN72OT · pith_short_16: 3MDRY3MN72OTU7LU · pith_short_8: 3MDRY3MN

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/3MDRY3MN72OTU7LU4BX4FDD7XI \
  | 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: db071c6d8dfe9d3a7d74e06fc28c7fba00cd5aafdb6a7a7b57fc92d507fa12cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c91f8c1781457f0e33738fef2bbe73a0ebf9157fdc120fdefa52c757743e7c5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-09T10:58:47Z",
    "title_canon_sha256": "f658238535c03905bac13114d39c52b45672f723170ff5c8bf747f15bae9a846"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02810",
    "kind": "arxiv",
    "version": 2
  }
}