Pith Number

pith:A2MSX3LV

pith:2012:A2MSX3LV2SV7Q345TEZR6YMBPD

not attested not anchored not stored refs pending

L^2 Harmonic 1-forms on submanifolds with finite total curvature

Feliciano Vitorio, Heudson Mirandola, Marcos P. Cavalcante

arxiv:1201.5392 v2 · 2012-01-25 · 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{A2MSX3LV2SV7Q345TEZR6YMBPD}

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	2026-05-18T03:54:14.919520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06992bed75d4abf86f9d99331f618178efb11303a6b73f9eac02d3c6ccb332e5

Aliases

arxiv: 1201.5392 · arxiv_version: 1201.5392v2 · doi: 10.48550/arxiv.1201.5392 · pith_short_12: A2MSX3LV2SV7 · pith_short_16: A2MSX3LV2SV7Q345 · pith_short_8: A2MSX3LV

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/A2MSX3LV2SV7Q345TEZR6YMBPD \
  | 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: 06992bed75d4abf86f9d99331f618178efb11303a6b73f9eac02d3c6ccb332e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37b4323a290c6c5012cad02491e2dfbf8220ed86a1fc547f78da7f66536db3e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-01-25T21:08:47Z",
    "title_canon_sha256": "7ed7488aa6c14b042575d32ab81aaf775d6244898793a08ff90c9977064ba3bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5392",
    "kind": "arxiv",
    "version": 2
  }
}