Pith Number

pith:J3M7HGNO

pith:2015:J3M7HGNOY4HYCZAZMFB3KOHW77

not attested not anchored not stored refs pending

Fibers and global geometry of functions

Andre Zaccur, Carlos Tomei, Marta Calanchi

arxiv:1506.05090 v1 · 2015-06-16 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3M7HGNOY4HYCZAZMFB3KOHW77}

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	2026-05-18T01:48:05.043281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ed9f399aec70f8164196143b538f6ffdd12dff0b7dfe4914e8da6ae6bacf09d

Aliases

arxiv: 1506.05090 · arxiv_version: 1506.05090v1 · doi: 10.48550/arxiv.1506.05090 · pith_short_12: J3M7HGNOY4HY · pith_short_16: J3M7HGNOY4HYCZAZ · pith_short_8: J3M7HGNO

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/J3M7HGNOY4HYCZAZMFB3KOHW77 \
  | 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: 4ed9f399aec70f8164196143b538f6ffdd12dff0b7dfe4914e8da6ae6bacf09d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "782bcd8aa29b90354fdeb0db0382ebf324f52361cc12a28c3e98ab70c025dbd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-16T19:31:31Z",
    "title_canon_sha256": "93d77189331e5213d03397ca5d50fb9e2f0f6747e7614dc811eecdb3f2b5d01a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05090",
    "kind": "arxiv",
    "version": 1
  }
}