Pith Number

pith:UTXHQQZR

pith:2015:UTXHQQZRPX3FCDMQUJKMMWANQW

not attested not anchored not stored refs pending

Saddle-point integration of $C_\infty$ "bump" functions

Steven G. Johnson

arxiv:1508.04376 v1 · 2015-08-18 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UTXHQQZRPX3FCDMQUJKMMWANQW}

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	2026-05-18T01:35:05.498557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4ee7843317df6510d90a254c6580d859180807f07ddf843b64d67eeb59ba6f7

Aliases

arxiv: 1508.04376 · arxiv_version: 1508.04376v1 · doi: 10.48550/arxiv.1508.04376 · pith_short_12: UTXHQQZRPX3F · pith_short_16: UTXHQQZRPX3FCDMQ · pith_short_8: UTXHQQZR

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/UTXHQQZRPX3FCDMQUJKMMWANQW \
  | 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: a4ee7843317df6510d90a254c6580d859180807f07ddf843b64d67eeb59ba6f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f1909ad985fe5db7a5e0b81e8dbda73d46bbad766c9819cf4bb08947e0f7711",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-08-18T16:44:21Z",
    "title_canon_sha256": "135e4706ce651d41d3c8fd23e19d58195fbb6ee5d7e1ce7d2470afcd58c3573f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04376",
    "kind": "arxiv",
    "version": 1
  }
}