Pith Number

pith:R65O522V

pith:2016:R65O522VWYG74POLH2LE5T3SLB

not attested not anchored not stored refs pending

Explicit Implicit Function Theorem for All Fields

Yining Hu

arxiv:1611.01415 v2 · 2016-10-30 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R65O522VWYG74POLH2LE5T3SLB}

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	2026-05-18T00:58:03.585389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fbaeeeb55b60dfe3dcb3e964ecf72587fcbe39e5dcd156102bf9007a9db31e9

Aliases

arxiv: 1611.01415 · arxiv_version: 1611.01415v2 · doi: 10.48550/arxiv.1611.01415 · pith_short_12: R65O522VWYG7 · pith_short_16: R65O522VWYG74POL · pith_short_8: R65O522V

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/R65O522VWYG74POLH2LE5T3SLB \
  | 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: 8fbaeeeb55b60dfe3dcb3e964ecf72587fcbe39e5dcd156102bf9007a9db31e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf1acd4874b3fe98742669f611955844598f7c921dd875827cfb3f8cc877f026",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-10-30T13:03:07Z",
    "title_canon_sha256": "bd08b0f1041a0002cf7eb7e3639cdcee1ac1fb432d1437beb9b1012521f256d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01415",
    "kind": "arxiv",
    "version": 2
  }
}