Pith Number

pith:O6PHLL4C

pith:2026:O6PHLL4CH6QFQGYP2MYAUYCD2C

not attested not anchored not stored refs pending

Exponential growth and decay in the ideal induction equation

V\'ictor Navarro-Fern\'andez

arxiv:2608.05997 v1 · 2026-08-06 · 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{O6PHLL4CH6QFQGYP2MYAUYCD2C}

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	2026-08-07T00:54:53.305082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

779e75af823fa0581b0fd3300a6043d0bda2386e732451394161ef96c7ce299b

Aliases

arxiv: 2608.05997 · arxiv_version: 2608.05997v1 · doi: 10.48550/arxiv.2608.05997 · pith_short_12: O6PHLL4CH6QF · pith_short_16: O6PHLL4CH6QFQGYP · pith_short_8: O6PHLL4C

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/O6PHLL4CH6QFQGYP2MYAUYCD2C \
  | 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: 779e75af823fa0581b0fd3300a6043d0bda2386e732451394161ef96c7ce299b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c41ef502eebf2ecdc8d2903888146230ef2b503c4a4d91103c98918c25a8228",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-06T13:06:30Z",
    "title_canon_sha256": "a3cd7decb47f2252ef57dcb3c3c7bbadea46ea7e658ac45549dc8ae184e1bdb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05997",
    "kind": "arxiv",
    "version": 1
  }
}