Pith Number

pith:E2WCNIP7

pith:2017:E2WCNIP7LRJ6U7S6LHZRJO75BK

not attested not anchored not stored refs pending

Poincar\'e index and the volume functional of unit vector fields on punctured spheres

Andr\'e O. Gomes, Fabiano G. B. Brito, Icaro Gon\c{c}alves

arxiv:1708.01575 v2 · 2017-08-04 · 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{E2WCNIP7LRJ6U7S6LHZRJO75BK}

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	2026-05-18T00:34:41.372382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26ac26a1ff5c53ea7e5e59f314bbfd0a88bb4475e75db3eaeb829dd314201fba

Aliases

arxiv: 1708.01575 · arxiv_version: 1708.01575v2 · doi: 10.48550/arxiv.1708.01575 · pith_short_12: E2WCNIP7LRJ6 · pith_short_16: E2WCNIP7LRJ6U7S6 · pith_short_8: E2WCNIP7

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/E2WCNIP7LRJ6U7S6LHZRJO75BK \
  | 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: 26ac26a1ff5c53ea7e5e59f314bbfd0a88bb4475e75db3eaeb829dd314201fba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6f02a07b50e085db39c89a22898e8a189d82dd1f2867887fbe4f2a4faf24be5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-08-04T16:30:31Z",
    "title_canon_sha256": "1259529856a5b57734b7255bdce4c6e6e9a3f99584e5c47cfe0c401e2a4ccbc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01575",
    "kind": "arxiv",
    "version": 2
  }
}