Pith Number

pith:J77BSDL2

pith:2017:J77BSDL2FKX5GMNATED6MGDS5C

not attested not anchored not stored refs pending

Subdifferential representation of convex functions on $X^*$

Duanxu Dai

arxiv:1711.10161 v1 · 2017-11-28 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J77BSDL2FKX5GMNATED6MGDS5C}

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	2026-05-18T00:29:23.140926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ffe190d7a2aafd331a09907e61872e893ee1508af52ade5e705c06ac15a1e05

Aliases

arxiv: 1711.10161 · arxiv_version: 1711.10161v1 · doi: 10.48550/arxiv.1711.10161 · pith_short_12: J77BSDL2FKX5 · pith_short_16: J77BSDL2FKX5GMNA · pith_short_8: J77BSDL2

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/J77BSDL2FKX5GMNATED6MGDS5C \
  | 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: 4ffe190d7a2aafd331a09907e61872e893ee1508af52ade5e705c06ac15a1e05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7d7c8743e75022f234c88df4a1c883bb9f00d727e971574eaafb3d8219bc47d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-28T07:51:58Z",
    "title_canon_sha256": "c57a2eec784355b593eac5511b376828d38277552132f49748ffcc583f2cf0a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10161",
    "kind": "arxiv",
    "version": 1
  }
}