Pith Number

pith:Z2RNUB4H

pith:2019:Z2RNUB4HGQX7DVWUJ4WWS7C6IW

not attested not anchored not stored refs pending

The secant map applied to a real polynomial with multiple roots

Antonio Garijo, Xavier Jarque

arxiv:1907.09323 v1 · 2019-07-22 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2RNUB4HGQX7DVWUJ4WWS7C6IW}

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	2026-05-17T23:39:59.490161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cea2da0787342ff1d6d44f2d697c5e45b56fe7edfc11d9a2b5f3b5487656ff5d

Aliases

arxiv: 1907.09323 · arxiv_version: 1907.09323v1 · doi: 10.48550/arxiv.1907.09323 · pith_short_12: Z2RNUB4HGQX7 · pith_short_16: Z2RNUB4HGQX7DVWU · pith_short_8: Z2RNUB4H

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/Z2RNUB4HGQX7DVWUJ4WWS7C6IW \
  | 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: cea2da0787342ff1d6d44f2d697c5e45b56fe7edfc11d9a2b5f3b5487656ff5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feea1fe366f59b1df4a6f23ff0e1d61974e102151479300ccd7ebb3f220eaeaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-07-22T13:54:57Z",
    "title_canon_sha256": "97aae4c32960d2726df7aa59e2716c2648525402b045e8a584e1450745c97bd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09323",
    "kind": "arxiv",
    "version": 1
  }
}