Pith Number

pith:LN7MHPGG

pith:2015:LN7MHPGGRYJP6YZ3J6XTO7ARUQ

not attested not anchored not stored refs pending

Asymptotically extrinsic tamed submanifolds

G. Pacelli Bessa, Vicente Palmer, Vicent Gimeno

arxiv:1512.08667 v1 · 2015-12-29 · 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{LN7MHPGGRYJP6YZ3J6XTO7ARUQ}

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	2026-05-18T01:23:35.164606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b7ec3bcc68e12ff633b4faf377c11a4351fe7969b2d9e0dc25e3479451c2d6e

Aliases

arxiv: 1512.08667 · arxiv_version: 1512.08667v1 · doi: 10.48550/arxiv.1512.08667 · pith_short_12: LN7MHPGGRYJP · pith_short_16: LN7MHPGGRYJP6YZ3 · pith_short_8: LN7MHPGG

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/LN7MHPGGRYJP6YZ3J6XTO7ARUQ \
  | 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: 5b7ec3bcc68e12ff633b4faf377c11a4351fe7969b2d9e0dc25e3479451c2d6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e357805ed92e9f38d3256aa20a61e5a23318c185e16fc09feb5c1a9d536f9b14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-29T12:45:53Z",
    "title_canon_sha256": "9642690d08ab199a8d143b0ade68ae8a4b7c8e23ac50f7e046ca878a3b4be79f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08667",
    "kind": "arxiv",
    "version": 1
  }
}