Pith Number

pith:U4PDWY7A

pith:2014:U4PDWY7AHJJIJYZGRVMXZ4KETG

not attested not anchored not stored refs pending

Rough integrators on Banach manifolds

Ismael Bailleul

arxiv:1403.3285 v3 · 2014-03-13 · math.CA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4PDWY7AHJJIJYZGRVMXZ4KETG}

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	2026-05-18T02:47:07.416550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a71e3b63e03a5284e3268d597cf14499b7fa3af6cc1269162ab531d7ed2ea209

Aliases

arxiv: 1403.3285 · arxiv_version: 1403.3285v3 · doi: 10.48550/arxiv.1403.3285 · pith_short_12: U4PDWY7AHJJI · pith_short_16: U4PDWY7AHJJIJYZG · pith_short_8: U4PDWY7A

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/U4PDWY7AHJJIJYZGRVMXZ4KETG \
  | 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: a71e3b63e03a5284e3268d597cf14499b7fa3af6cc1269162ab531d7ed2ea209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef7f343a84bd3a636f4d9472646fa1c1b44d422598e314c7861155fdcccdf117",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-03-13T14:51:19Z",
    "title_canon_sha256": "625a53c5c49d950257974e320cfda2274ce5637981981cc2bb2ed41abdc01170"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3285",
    "kind": "arxiv",
    "version": 3
  }
}