Pith Number

pith:YE6AV2DW

pith:2016:YE6AV2DWBFFPXWFGR44CT7VOE4

not attested not anchored not stored refs pending

Submanifolds and differential forms on Carnot manifolds, after M. Gromov and M. Rumin

Pierre Pansu

arxiv:1604.06333 v1 · 2016-04-21 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YE6AV2DWBFFPXWFGR44CT7VOE4}

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	2026-05-18T01:16:32.010627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c13c0ae876094afbd8a68f3829feae27072b80f137c0e2b980c1a80084612626

Aliases

arxiv: 1604.06333 · arxiv_version: 1604.06333v1 · doi: 10.48550/arxiv.1604.06333 · pith_short_12: YE6AV2DWBFFP · pith_short_16: YE6AV2DWBFFPXWFG · pith_short_8: YE6AV2DW

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/YE6AV2DWBFFPXWFGR44CT7VOE4 \
  | 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: c13c0ae876094afbd8a68f3829feae27072b80f137c0e2b980c1a80084612626

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e22d9523c86e5f418dfb7f7cf2e030293aa3d9b3d050c9732d9c7711c491a166",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-04-21T14:49:48Z",
    "title_canon_sha256": "2a21aec5e9d2c3beaa98f8f1a394ef80e790942fcb6b500b2c8ee68dd11350bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06333",
    "kind": "arxiv",
    "version": 1
  }
}